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64674816 = 210337569
BaseRepresentation
bin1111011010110…
…1110000000000
311111200211011120
43312231300000
5113024043231
610230112240
71413504213
oct366556000
9144624146
1064674816
1133564168
12197ab680
1310525a2b
14883777a
155a27d96
hex3dadc00

64674816 has 88 divisors (see below), whose sum is σ = 177352080. Its totient is φ = 20938752.

The previous prime is 64674811. The next prime is 64674829. The reversal of 64674816 is 61847646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64674811) 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, 113380 + ... + 113948.

Almost surely, 264674816 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 64674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88676040).

64674816 is an abundant number, since it is smaller than the sum of its proper divisors (112677264).

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

64674816 is a wasteful number, since it uses less digits than its factorization.

64674816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 611 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 64674816 is about 8042.0654063493. The cubic root of 64674816 is about 401.4009542562.

The spelling of 64674816 in words is "sixty-four million, six hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 569 592 768 888 1024 1138 1184 1536 1707 1776 2276 2368 3072 3414 3552 4552 4736 6828 7104 9104 9472 13656 14208 18208 18944 21053 27312 28416 36416 37888 42106 54624 56832 63159 72832 84212 109248 113664 126318 145664 168424 218496 252636 291328 336848 436992 505272 582656 673696 873984 1010544 1347392 1747968 2021088 2694784 4042176 5389568 8084352 10779136 16168704 21558272 32337408 64674816