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96881376 = 2531676043
BaseRepresentation
bin1011100011001…
…00101011100000
320202022002021010
411301210223200
5144300201001
613340300520
72254322664
oct561445340
9222262233
1096881376
114a761459
1228541740
13170c1177
14cc1c8a4
15878a8d6
hex5c64ae0

96881376 has 48 divisors (see below), whose sum is σ = 255878784. Its totient is φ = 32095104.

The previous prime is 96881357. The next prime is 96881377. The reversal of 96881376 is 67318869.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96881377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13011 + ... + 19053.

It is an arithmetic number, because the mean of its divisors is an integer number (5330808).

Almost surely, 296881376 is an apocalyptic number.

96881376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96881376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127939392).

96881376 is an abundant number, since it is smaller than the sum of its proper divisors (158997408).

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

96881376 is a wasteful number, since it uses less digits than its factorization.

96881376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223 (or 6215 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 96881376 is about 9842.8337383093. The cubic root of 96881376 is about 459.2827132303.

The spelling of 96881376 in words is "ninety-six million, eight hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 6043 8016 12086 16032 18129 24172 36258 48344 72516 96688 145032 193376 290064 580128 1009181 2018362 3027543 4036724 6055086 8073448 12110172 16146896 24220344 32293792 48440688 96881376