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96607616 = 277273211
BaseRepresentation
bin1011100001000…
…01110110000000
320201210011201212
411300201312000
5144212420431
613330345252
72252102600
oct560416600
9221704655
1096607616
114a594806
122842b228
1317026691
14cb8ac00
15873472b
hex5c21d80

96607616 has 96 divisors (see below), whose sum is σ = 228025080. Its totient is φ = 40642560.

The previous prime is 96607561. The next prime is 96607619. The reversal of 96607616 is 61670669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96607619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457751 + ... + 457961.

Almost surely, 296607616 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 96607616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114012540).

96607616 is an abundant number, since it is smaller than the sum of its proper divisors (131417464).

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

96607616 is a wasteful number, since it uses less digits than its factorization.

96607616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 96607616 is about 9828.9173361057. The cubic root of 96607616 is about 458.8497031027.

The spelling of 96607616 in words is "ninety-six million, six hundred seven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 73 98 112 128 146 196 211 224 292 392 422 448 511 584 784 844 896 1022 1168 1477 1568 1688 2044 2336 2954 3136 3376 3577 4088 4672 5908 6272 6752 7154 8176 9344 10339 11816 13504 14308 15403 16352 20678 23632 27008 28616 30806 32704 41356 47264 57232 61612 65408 82712 94528 107821 114464 123224 165424 189056 215642 228928 246448 330848 431284 457856 492896 661696 754747 862568 985792 1323392 1509494 1725136 1971584 3018988 3450272 6037976 6900544 12075952 13801088 24151904 48303808 96607616