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96657408 = 213331923
BaseRepresentation
bin1011100001011…
…10000000000000
320201212201001000
411300232000000
5144221014113
613331412000
72252401011
oct560560000
9221781030
1096657408
114a619161
1228454000
1317043243
14cba1008
158744373
hex5c2e000

96657408 has 224 divisors, whose sum is σ = 314553600. Its totient is φ = 29196288.

The previous prime is 96657397. The next prime is 96657419. The reversal of 96657408 is 80475669.

It is an interprime number because it is at equal distance from previous prime (96657397) and next prime (96657419).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4202485 + ... + 4202507.

Almost surely, 296657408 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 96657408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157276800).

96657408 is an abundant number, since it is smaller than the sum of its proper divisors (217896192).

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

96657408 is a wasteful number, since it uses less digits than its factorization.

96657408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 96657408 is about 9831.4499439299. The cubic root of 96657408 is about 458.9285206305.

The spelling of 96657408 in words is "ninety-six million, six hundred fifty-seven thousand, four hundred eight".