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96673632 = 25311432129
BaseRepresentation
bin1011100001100…
…01111101100000
320201220112021220
411300301331200
5144222024012
613332015040
72252466216
oct560617540
9221815256
1096673632
114a62a370
1228461480
131704a743
14cba6cb6
15874908c
hex5c31f60

96673632 has 96 divisors (see below), whose sum is σ = 283409280. Its totient is φ = 28600320.

The previous prime is 96673627. The next prime is 96673651. The reversal of 96673632 is 23637669.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×966736322 = 18691582248142848, which contains 22 as substring.

It is a congruent number.

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, 44344 + ... + 46472.

It is an arithmetic number, because the mean of its divisors is an integer number (2952180).

Almost surely, 296673632 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 96673632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141704640).

96673632 is an abundant number, since it is smaller than the sum of its proper divisors (186735648).

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

96673632 is a wasteful number, since it uses less digits than its factorization.

96673632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2188 counting only the distinct ones).

The product of its digits is 244944, while the sum is 42.

The square root of 96673632 is about 9832.2750164954. The cubic root of 96673632 is about 458.9541963303.

The spelling of 96673632 in words is "ninety-six million, six hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1892 2064 2129 2838 3784 4128 4258 5676 6387 7568 8516 11352 12774 15136 17032 22704 23419 25548 34064 45408 46838 51096 68128 70257 91547 93676 102192 140514 183094 187352 204384 274641 281028 366188 374704 549282 562056 732376 749408 1007017 1098564 1124112 1464752 2014034 2197128 2248224 2929504 3021051 4028068 4394256 6042102 8056136 8788512 12084204 16112272 24168408 32224544 48336816 96673632