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64749312 = 2832157179
BaseRepresentation
bin1111011011111…
…1111100000000
311111211121100200
43312333330000
5113033434222
610231445200
71414234335
oct366777400
9144747320
1064749312
1133605131
1219826800
1310550904
14885698c
155a3eeac
hex3dbff00

64749312 has 108 divisors (see below), whose sum is σ = 188926920. Its totient is φ = 21325824.

The previous prime is 64749287. The next prime is 64749313. The reversal of 64749312 is 21394746.

64749312 is a `hidden beast` number, since 647 + 4 + 9 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64749313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361639 + ... + 361817.

Almost surely, 264749312 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 64749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94463460).

64749312 is an abundant number, since it is smaller than the sum of its proper divisors (124177608).

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

64749312 is a wasteful number, since it uses less digits than its factorization.

64749312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 64749312 is about 8046.6957193621. The cubic root of 64749312 is about 401.5550136643. Note that the first 3 decimals are identical.

The spelling of 64749312 in words is "sixty-four million, seven hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 179 192 256 288 314 358 384 471 537 576 628 716 768 942 1074 1152 1256 1413 1432 1611 1884 2148 2304 2512 2826 2864 3222 3768 4296 5024 5652 5728 6444 7536 8592 10048 11304 11456 12888 15072 17184 20096 22608 22912 25776 28103 30144 34368 40192 45216 45824 51552 56206 60288 68736 84309 90432 103104 112412 120576 137472 168618 180864 206208 224824 252927 337236 361728 412416 449648 505854 674472 899296 1011708 1348944 1798592 2023416 2697888 3597184 4046832 5395776 7194368 8093664 10791552 16187328 21583104 32374656 64749312