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96677392 = 2472317389
BaseRepresentation
bin1011100001100…
…10111000010000
320201220201110011
411300302320100
5144222134032
613332044304
72252513200
oct560627020
9221821404
1096677392
114a632179
1228463694
131704c376
14cba8400
15874a247
hex5c32e10

96677392 has 60 divisors (see below), whose sum is σ = 219143340. Its totient is φ = 41196288.

The previous prime is 96677381. The next prime is 96677423. The reversal of 96677392 is 29377669.

It can be written as a sum of positive squares in 2 ways, for example, as 12845056 + 83832336 = 3584^2 + 9156^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248334 + ... + 248722.

It is an arithmetic number, because the mean of its divisors is an integer number (3652389).

Almost surely, 296677392 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 96677392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109571670).

96677392 is an abundant number, since it is smaller than the sum of its proper divisors (122465948).

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

96677392 is a wasteful number, since it uses less digits than its factorization.

96677392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 715 counting only the distinct ones).

The product of its digits is 857304, while the sum is 49.

The square root of 96677392 is about 9832.4662216557. The cubic root of 96677392 is about 458.9601464030.

The spelling of 96677392 in words is "ninety-six million, six hundred seventy-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 317 389 392 634 778 784 1268 1556 2219 2536 2723 3112 4438 5072 5446 6224 8876 10892 15533 17752 19061 21784 31066 35504 38122 43568 62132 76244 123313 124264 152488 246626 248528 304976 493252 863191 986504 1726382 1973008 3452764 6042337 6905528 12084674 13811056 24169348 48338696 96677392