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52400458032 = 24313234189051
BaseRepresentation
bin110000110011010011…
…111000100100110000
312000020212201001222220
4300303103320210300
51324304004124112
640023351401040
73533350354446
oct606323704460
9160225631886
1052400458032
112024a76876a
12a1a4983180
134c31188cb0
14277146cb96
15156a4ab98c
hexc334f8930

52400458032 has 160 divisors (see below), whose sum is σ = 155831026176. Its totient is φ = 15045888000.

The previous prime is 52400458027. The next prime is 52400458037. The reversal of 52400458032 is 23085400425.

It is an interprime number because it is at equal distance from previous prime (52400458027) and next prime (52400458037).

It is a junction number, because it is equal to n+sod(n) for n = 52400457984 and 52400458002.

It is not an unprimeable number, because it can be changed into a prime (52400458037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543907 + ... + 632957.

Almost surely, 252400458032 is an apocalyptic number.

52400458032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52400458032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77915513088).

52400458032 is an abundant number, since it is smaller than the sum of its proper divisors (103430568144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52400458032 is a wasteful number, since it uses less digits than its factorization.

52400458032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89139 (or 89133 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 52400458032 its reverse (23085400425), we get a palindrome (75485858457).

The spelling of 52400458032 in words is "fifty-two billion, four hundred million, four hundred fifty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 41 46 48 52 69 78 82 92 104 123 138 156 164 184 208 246 276 299 312 328 368 492 533 552 598 624 656 897 943 984 1066 1104 1196 1599 1794 1886 1968 2132 2392 2829 3198 3588 3772 4264 4784 5658 6396 7176 7544 8528 11316 12259 12792 14352 15088 22632 24518 25584 36777 45264 49036 73554 89051 98072 147108 178102 196144 267153 294216 356204 534306 588432 712408 1068612 1157663 1424816 2048173 2137224 2315326 3472989 3651091 4096346 4274448 4630652 6144519 6945978 7302182 8192692 9261304 10953273 12289038 13891956 14604364 16385384 18522608 21906546 24578076 26626249 27783912 29208728 32770768 43813092 47464183 49156152 53252498 55567824 58417456 79878747 83975093 87626184 94928366 98312304 106504996 142392549 159757494 167950186 175252368 189856732 213009992 251925279 284785098 319514988 335900372 379713464 426019984 503850558 569570196 639029976 671800744 759426928 1007701116 1091676209 1139140392 1278059952 1343601488 2015402232 2183352418 2278280784 3275028627 4030804464 4366704836 6550057254 8733409672 13100114508 17466819344 26200229016 52400458032