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64985088 = 211371511
BaseRepresentation
bin1111011111100…
…1100000000000
311112021120210010
43313321200000
5113114010323
610240504520
71416235620
oct367714000
9145246703
1064985088
1133756293
121991b140
131060401c
1488b8880
155a89c93
hex3df9800

64985088 has 96 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 18554880.

The previous prime is 64985087. The next prime is 64985113. The reversal of 64985088 is 88058946.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64985087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42253 + ... + 43763.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 264985088 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 64985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

64985088 is an abundant number, since it is smaller than the sum of its proper divisors (133147392).

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

64985088 is a wasteful number, since it uses less digits than its factorization.

64985088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 64985088 is about 8061.3328922704. The cubic root of 64985088 is about 402.0418262958.

The spelling of 64985088 in words is "sixty-four million, nine hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1511 1536 1792 2048 2688 3022 3072 3584 4533 5376 6044 6144 7168 9066 10577 10752 12088 14336 18132 21154 21504 24176 31731 36264 42308 43008 48352 63462 72528 84616 96704 126924 145056 169232 193408 253848 290112 338464 386816 507696 580224 676928 773632 1015392 1160448 1353856 1547264 2030784 2320896 2707712 3094528 4061568 4641792 5415424 8123136 9283584 10830848 16246272 21661696 32492544 64985088