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470164392 = 23335979467
BaseRepresentation
bin11100000001100…
…010001110101000
31012202200211022000
4130001202032220
51430330230032
6114353131000
714436221445
oct3401421650
91182624260
10470164392
11221439515
12111559a60
1376539ba9
144662a9cc
152b422e7c
hex1c0623a8

470164392 has 128 divisors (see below), whose sum is σ = 1347840000. Its totient is φ = 151789248.

The previous prime is 470164381. The next prime is 470164397. The reversal of 470164392 is 293461074.

470164392 is a `hidden beast` number, since 4 + 7 + 0 + 1 + 643 + 9 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (470164397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006543 + ... + 1007009.

It is an arithmetic number, because the mean of its divisors is an integer number (10530000).

Almost surely, 2470164392 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 470164392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673920000).

470164392 is an abundant number, since it is smaller than the sum of its proper divisors (877675608).

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

470164392 is a wasteful number, since it uses less digits than its factorization.

470164392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

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

The square root of 470164392 is about 21683.2744759642. The cubic root of 470164392 is about 777.5886477157.

The spelling of 470164392 in words is "four hundred seventy million, one hundred sixty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 79 108 118 158 177 216 236 237 316 354 467 472 474 531 632 708 711 934 948 1062 1401 1416 1422 1593 1868 1896 2124 2133 2802 2844 3186 3736 4203 4248 4266 4661 5604 5688 6372 8406 8532 9322 11208 12609 12744 13983 16812 17064 18644 25218 27553 27966 33624 36893 37288 41949 50436 55106 55932 73786 82659 83898 100872 110212 110679 111864 125847 147572 165318 167796 220424 221358 247977 251694 295144 330636 332037 335592 442716 495954 503388 661272 664074 743931 885432 991908 996111 1006776 1328148 1487862 1983816 1992222 2176687 2656296 2975724 3984444 4353374 5951448 6530061 7968888 8706748 13060122 17413496 19590183 26120244 39180366 52240488 58770549 78360732 117541098 156721464 235082196 470164392