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64294992 = 2433314801
BaseRepresentation
bin1111010101000…
…1000001010000
311110222112011000
43311101001100
5112424414432
610214022000
71410332646
oct365210120
9143875130
1064294992
1133324863
1219647900
1310421b98
148779196
1559a057c
hex3d51050

64294992 has 80 divisors (see below), whose sum is σ = 190543360. Its totient is φ = 20736000.

The previous prime is 64294987. The next prime is 64294999. The reversal of 64294992 is 29949246.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64294999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10992 + ... + 15792.

It is an arithmetic number, because the mean of its divisors is an integer number (2381792).

Almost surely, 264294992 is an apocalyptic number.

64294992 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64294992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95271680).

64294992 is an abundant number, since it is smaller than the sum of its proper divisors (126248368).

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

64294992 is a wasteful number, since it uses less digits than its factorization.

64294992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4837 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 64294992 is about 8018.4158036360. The cubic root of 64294992 is about 400.6136248467.

The spelling of 64294992 in words is "sixty-four million, two hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 4801 6696 9602 13392 14403 19204 28806 38408 43209 57612 76816 86418 115224 129627 148831 172836 230448 259254 297662 345672 446493 518508 595324 691344 892986 1037016 1190648 1339479 1785972 2074032 2381296 2678958 3571944 4018437 5357916 7143888 8036874 10715832 16073748 21431664 32147496 64294992