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88672896 = 27321331191
BaseRepresentation
bin1010100100100…
…00101010000000
320011212001100100
411102100222000
5140200013041
612444322400
72124464364
oct522205200
9204761310
1088672896
1146065294
1225843400
13154a8b90
14bac32a4
157bb86b6
hex5490a80

88672896 has 192 divisors, whose sum is σ = 285143040. Its totient is φ = 26265600.

The previous prime is 88672877. The next prime is 88672897. The reversal of 88672896 is 69827688.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (88672897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464161 + ... + 464351.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 288672896 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 88672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571520).

88672896 is an abundant number, since it is smaller than the sum of its proper divisors (196470144).

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

88672896 is a wasteful number, since it uses less digits than its factorization.

88672896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 88672896 is about 9416.6286960886. The cubic root of 88672896 is about 445.9268583095.

The spelling of 88672896 in words is "eighty-eight million, six hundred seventy-two thousand, eight hundred ninety-six".