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564904470 = 235132671663
BaseRepresentation
bin100001101010111…
…100001000010110
31110100222010020210
4201222330020112
52124103420340
6132015510250
716666415544
oct4152741026
91410863223
10564904470
1126a9680a9
12139228386
139005b500
145504cd94
15348d9180
hex21abc216

564904470 has 96 divisors (see below), whose sum is σ = 1490890752. Its totient is φ = 136895616.

The previous prime is 564904451. The next prime is 564904499. The reversal of 564904470 is 74409465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338859 + ... + 340521.

It is an arithmetic number, because the mean of its divisors is an integer number (15530112).

Almost surely, 2564904470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564904470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745445376).

564904470 is an abundant number, since it is smaller than the sum of its proper divisors (925986282).

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

564904470 is a wasteful number, since it uses less digits than its factorization.

564904470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 564904470 is about 23767.7190744085. The cubic root of 564904470 is about 826.6563454385.

The spelling of 564904470 in words is "five hundred sixty-four million, nine hundred four thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 169 195 201 335 338 390 402 507 670 845 871 1005 1014 1663 1690 1742 2010 2535 2613 3326 4355 4989 5070 5226 8315 8710 9978 11323 13065 16630 21619 22646 24945 26130 33969 43238 49890 56615 64857 67938 108095 111421 113230 129714 169845 216190 222842 281047 324285 334263 339690 557105 562094 648570 668526 843141 1114210 1405235 1448473 1671315 1686282 2810470 2896946 3342630 4215705 4345419 7242365 8431410 8690838 14484730 18830149 21727095 37660298 43454190 56490447 94150745 112980894 188301490 282452235 564904470