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96672928 = 25111931423
BaseRepresentation
bin1011100001100…
…01110010100000
320201220111022211
411300301302200
5144222013203
613332011504
72252464162
oct560616240
9221814284
1096672928
114a629890
1228460b94
131704a321
14cba6932
158748c6d
hex5c31ca0

96672928 has 48 divisors (see below), whose sum is σ = 208849536. Its totient is φ = 43683840.

The previous prime is 96672847. The next prime is 96672941. The reversal of 96672928 is 82927669.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67225 + ... + 68647.

It is an arithmetic number, because the mean of its divisors is an integer number (4351032).

Almost surely, 296672928 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 96672928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104424768).

96672928 is an abundant number, since it is smaller than the sum of its proper divisors (112176608).

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

96672928 is a wasteful number, since it uses less digits than its factorization.

96672928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1629 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The square root of 96672928 is about 9832.2392159670. The cubic root of 96672928 is about 458.9530822570.

The spelling of 96672928 in words is "ninety-six million, six hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 193 352 386 772 1423 1544 2123 2846 3088 4246 5692 6176 8492 11384 15653 16984 22768 31306 33968 45536 62612 67936 125224 250448 274639 500896 549278 1098556 2197112 3021029 4394224 6042058 8788448 12084116 24168232 48336464 96672928