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51485952 = 283761157
BaseRepresentation
bin1100010001100…
…1110100000000
310120212202110010
43010121310000
5101140022302
65035304520
71163423550
oct304316400
9116782403
1051485952
1127076181
12152ab140
13a88887b
146ba3160
1547c016c
hex3119d00

51485952 has 144 divisors (see below), whose sum is σ = 160184192. Its totient is φ = 14376960.

The previous prime is 51485923. The next prime is 51485957. The reversal of 51485952 is 25958415.

It is a self number, because there is not a number n which added to its sum of digits gives 51485952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51485957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327858 + ... + 328014.

Almost surely, 251485952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80092096).

51485952 is an abundant number, since it is smaller than the sum of its proper divisors (108698240).

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

51485952 is a wasteful number, since it uses less digits than its factorization.

51485952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 51485952 is about 7175.3712099096. The cubic root of 51485952 is about 372.0171110178.

The spelling of 51485952 in words is "fifty-one million, four hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 157 168 183 192 224 244 256 314 336 366 384 427 448 471 488 628 672 732 768 854 896 942 976 1099 1256 1281 1344 1464 1708 1792 1884 1952 2198 2512 2562 2688 2928 3297 3416 3768 3904 4396 5024 5124 5376 5856 6594 6832 7536 7808 8792 9577 10048 10248 11712 13188 13664 15072 15616 17584 19154 20096 20496 23424 26376 27328 28731 30144 35168 38308 40192 40992 46848 52752 54656 57462 60288 67039 70336 76616 81984 105504 109312 114924 120576 134078 140672 153232 163968 201117 211008 229848 268156 281344 306464 327936 402234 422016 459696 536312 612928 804468 844032 919392 1072624 1225856 1608936 1838784 2145248 2451712 3217872 3677568 4290496 6435744 7355136 8580992 12871488 17161984 25742976 51485952