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96052832 = 2541179409
BaseRepresentation
bin1011011100110…
…10011001100000
320200201222201022
411232122121200
5144042142312
613310425012
72244302261
oct556323140
9220658638
1096052832
114a245a07
1228202168
1316b90cc5
14ca84968
158675172
hex5b9a660

96052832 has 48 divisors (see below), whose sum is σ = 195274800. Its totient is φ = 46479360.

The previous prime is 96052813. The next prime is 96052837. The reversal of 96052832 is 23825069.

It is a super-2 number, since 2×960528322 = 18452293070440448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96052792 and 96052801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96052837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234644 + ... + 235052.

It is an arithmetic number, because the mean of its divisors is an integer number (4068225).

Almost surely, 296052832 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 96052832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97637400).

96052832 is an abundant number, since it is smaller than the sum of its proper divisors (99221968).

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

96052832 is a wasteful number, since it uses less digits than its factorization.

96052832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 96052832 is about 9800.6546720104. The cubic root of 96052832 is about 457.9696782046.

The spelling of 96052832 in words is "ninety-six million, fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 179 328 358 409 656 716 818 1312 1432 1636 2864 3272 5728 6544 7339 13088 14678 16769 29356 33538 58712 67076 73211 117424 134152 146422 234848 268304 292844 536608 585688 1171376 2342752 3001651 6003302 12006604 24013208 48026416 96052832