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96663424 = 2711135281
BaseRepresentation
bin1011100001011…
…11011110000000
320201220000021211
411300233132000
5144221212144
613331455504
72252424364
oct560573600
9221800254
1096663424
114a622730
1228457594
1317045bc0
14cba32a4
158746034
hex5c2f780

96663424 has 64 divisors (see below), whose sum is σ = 226280880. Its totient is φ = 40550400.

The previous prime is 96663421. The next prime is 96663433. The reversal of 96663424 is 42436669.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96663421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15664 + ... + 20944.

Almost surely, 296663424 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 96663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113140440).

96663424 is an abundant number, since it is smaller than the sum of its proper divisors (129617456).

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

96663424 is a wasteful number, since it uses less digits than its factorization.

96663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5307 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The square root of 96663424 is about 9831.7558960747. The cubic root of 96663424 is about 458.9380417379.

The spelling of 96663424 in words is "ninety-six million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 5281 9152 10562 18304 21124 42248 58091 68653 84496 116182 137306 168992 232364 274612 337984 464728 549224 675968 755183 929456 1098448 1510366 1858912 2196896 3020732 3717824 4393792 6041464 7435648 8787584 12082928 24165856 48331712 96663424