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68425984 = 28112472
BaseRepresentation
bin1000001010000…
…01100100000000
311202202101210201
410011001210000
5120004112414
610442334544
71460416444
oct405014400
9152671721
1068425984
1135696500
121aaba454
131123a263
149132824
156019574
hex4141900

68425984 has 81 divisors (see below), whose sum is σ = 153392491. Its totient is φ = 30440960.

The previous prime is 68425979. The next prime is 68425997. The reversal of 68425984 is 48952486.

The square root of 68425984 is 8272.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (552960) is a multiple of the sum of its prime divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1455849 + ... + 1455895.

Almost surely, 268425984 is an apocalyptic number.

68425984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

68425984 is the 8272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68425984

68425984 is an abundant number, since it is smaller than the sum of its proper divisors (84966507).

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

68425984 is an equidigital number, since it uses as much as digits as its factorization.

68425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 60 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The cubic root of 68425984 is about 409.0160502068.

The spelling of 68425984 in words is "sixty-eight million, four hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 121 128 176 188 242 256 352 376 484 517 704 752 968 1034 1408 1504 1936 2068 2209 2816 3008 3872 4136 4418 5687 6016 7744 8272 8836 11374 12032 15488 16544 17672 22748 24299 30976 33088 35344 45496 48598 66176 70688 90992 97196 132352 141376 181984 194392 267289 282752 363968 388784 534578 565504 727936 777568 1069156 1455872 1555136 2138312 3110272 4276624 6220544 8553248 17106496 34212992 68425984