Search a number
-
+
96036512 = 25111331677
BaseRepresentation
bin1011011100101…
…10011010100000
320200201011022212
411232112122200
5144041132022
613310221252
72244203555
oct556263240
9220634285
1096036512
114a234720
12281b4828
1316b86750
14ca7ca2c
1586703e2
hex5b966a0

96036512 has 96 divisors (see below), whose sum is σ = 229630464. Its totient is φ = 38937600.

The previous prime is 96036491. The next prime is 96036539. The reversal of 96036512 is 21563069.

It is a happy number.

It is a super-2 number, since 2×960365122 = 18446023274252288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 141518 + ... + 142194.

It is an arithmetic number, because the mean of its divisors is an integer number (2391984).

Almost surely, 296036512 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 96036512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114815232).

96036512 is an abundant number, since it is smaller than the sum of its proper divisors (133593952).

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

96036512 is a wasteful number, since it uses less digits than its factorization.

96036512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 96036512 is about 9799.8220392005. The cubic root of 96036512 is about 457.9437393946.

The spelling of 96036512 in words is "ninety-six million, thirty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 88 104 124 143 176 208 248 286 341 352 403 416 496 572 677 682 806 992 1144 1354 1364 1612 2288 2708 2728 3224 4433 4576 5416 5456 6448 7447 8801 8866 10832 10912 12896 14894 17602 17732 20987 21664 29788 35204 35464 41974 59576 70408 70928 83948 96811 119152 140816 141856 167896 193622 230857 238304 272831 281632 335792 387244 461714 545662 671584 774488 923428 1091324 1548976 1846856 2182648 3001141 3097952 3693712 4365296 6002282 7387424 8730592 12004564 24009128 48018256 96036512