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52190952 = 233111729401
BaseRepresentation
bin1100011100010…
…1111011101000
310122012120112020
43013011323220
5101330102302
65102344440
71202421132
oct307057350
9118176466
1052190952
1127507920
121558b120
13aa74728
146d08052
1548adebc
hex31c5ee8

52190952 has 128 divisors (see below), whose sum is σ = 156297600. Its totient is φ = 14336000.

The previous prime is 52190951. The next prime is 52190959. The reversal of 52190952 is 25909125.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (52190951) 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, 129952 + ... + 130352.

It is an arithmetic number, because the mean of its divisors is an integer number (1221075).

Almost surely, 252190952 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 52190952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78148800).

52190952 is an abundant number, since it is smaller than the sum of its proper divisors (104106648).

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

52190952 is a wasteful number, since it uses less digits than its factorization.

52190952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 52190952 is about 7224.3305572212. The cubic root of 52190952 is about 373.7074360838.

The spelling of 52190952 in words is "fifty-two million, one hundred ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 29 33 34 44 51 58 66 68 87 88 102 116 132 136 174 187 204 232 264 319 348 374 401 408 493 561 638 696 748 802 957 986 1122 1203 1276 1479 1496 1604 1914 1972 2244 2406 2552 2958 3208 3828 3944 4411 4488 4812 5423 5916 6817 7656 8822 9624 10846 11629 11832 13233 13634 16269 17644 20451 21692 23258 26466 27268 32538 34887 35288 40902 43384 46516 52932 54536 65076 69774 74987 81804 93032 105864 127919 130152 139548 149974 163608 197693 224961 255838 279096 299948 383757 395386 449922 511676 593079 599896 767514 790772 899844 1023352 1186158 1535028 1581544 1799688 2174623 2372316 3070056 4349246 4744632 6523869 8698492 13047738 17396984 26095476 52190952