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475507032 = 2337111319793
BaseRepresentation
bin11100010101111…
…010100101011000
31020010202021000120
4130111322211120
51433212211112
6115103433240
714532512610
oct3425724530
91203667016
10475507032
11224458520
121132b5820
137768a910
144721ba40
152bb2ae8c
hex1c57a958

475507032 has 128 divisors (see below), whose sum is σ = 1596188160. Its totient is φ = 114001920.

The previous prime is 475507027. The next prime is 475507049. The reversal of 475507032 is 230705574.

It is a super-2 number, since 2×4755070322 = 452213874962898048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 475506984 and 475507002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14128 + ... + 33920.

It is an arithmetic number, because the mean of its divisors is an integer number (12470220).

Almost surely, 2475507032 is an apocalyptic number.

475507032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475507032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798094080).

475507032 is an abundant number, since it is smaller than the sum of its proper divisors (1120681128).

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

475507032 is a wasteful number, since it uses less digits than its factorization.

475507032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19833 (or 19829 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 475507032 is about 21806.1237270635. The cubic root of 475507032 is about 780.5228972445.

The spelling of 475507032 in words is "four hundred seventy-five million, five hundred seven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 19793 24024 39586 59379 79172 118758 138551 158344 217723 237516 257309 277102 415653 435446 475032 514618 554204 653169 771927 831306 870892 1029236 1108408 1306338 1524061 1543854 1662612 1741784 1801163 2058472 2612676 2830399 3048122 3087708 3325224 3602326 4572183 5225352 5403489 5660798 6096244 6175416 7204652 8491197 9144366 10806978 11321596 12192488 14409304 16982394 18288732 19812793 21613956 22643192 33964788 36577464 39625586 43227912 59438379 67929576 79251172 118876758 158502344 237753516 475507032