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88608672 = 2532307669
BaseRepresentation
bin1010100100000…
…00111110100000
320011201210020200
411102000332200
5140140434142
612443105200
72124106215
oct522007640
9204653220
1088608672
1146021009
1225812200
1315485889
14baa7b0c
157ba464c
hex5480fa0

88608672 has 36 divisors (see below), whose sum is σ = 251981730. Its totient is φ = 29536128.

The previous prime is 88608649. The next prime is 88608679. The reversal of 88608672 is 27680688.

It can be written as a sum of positive squares in only one way, i.e., 65221776 + 23386896 = 8076^2 + 4836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (88608679) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153547 + ... + 154122.

Almost surely, 288608672 is an apocalyptic number.

It is an amenable number.

88608672 is an abundant number, since it is smaller than the sum of its proper divisors (163373058).

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

88608672 is a wasteful number, since it uses less digits than its factorization.

88608672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307685 (or 307674 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 88608672 is about 9413.2179407469. The cubic root of 88608672 is about 445.8191736810.

The spelling of 88608672 in words is "eighty-eight million, six hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307669 615338 923007 1230676 1846014 2461352 2769021 3692028 4922704 5538042 7384056 9845408 11076084 14768112 22152168 29536224 44304336 88608672