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64296288 = 2533710631
BaseRepresentation
bin1111010101000…
…1010101100000
311110222120221000
43311101111200
5112424440123
610214032000
71410336510
oct365212540
9143876830
1064296288
1133325831
1219648600
1310422654
148779840
1559a0b43
hex3d51560

64296288 has 96 divisors (see below), whose sum is σ = 214341120. Its totient is φ = 18368640.

The previous prime is 64296259. The next prime is 64296299. The reversal of 64296288 is 88269246.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733 + ... + 11363.

It is an arithmetic number, because the mean of its divisors is an integer number (2232720).

Almost surely, 264296288 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 64296288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107170560).

64296288 is an abundant number, since it is smaller than the sum of its proper divisors (150044832).

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

64296288 is a wasteful number, since it uses less digits than its factorization.

64296288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10643 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 64296288 is about 8018.4966171970. The cubic root of 64296288 is about 400.6163165637.

The spelling of 64296288 in words is "sixty-four million, two hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 10631 21262 31893 42524 63786 74417 85048 95679 127572 148834 170096 191358 223251 255144 287037 297668 340192 382716 446502 510288 574074 595336 669753 765432 893004 1020576 1148148 1190672 1339506 1530864 1786008 2009259 2296296 2381344 2679012 3061728 3572016 4018518 4592592 5358024 7144032 8037036 9185184 10716048 16074072 21432096 32148144 64296288