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475075720 = 2357101107157
BaseRepresentation
bin11100010100010…
…001010010001000
31020002221100101001
4130110101102020
51433104410340
6115050304344
714526035260
oct3424212210
91202840331
10475075720
11224193469
121131280b4
13775694c2
14471487a0
152ba9329a
hex1c511488

475075720 has 128 divisors (see below), whose sum is σ = 1253180160. Its totient is φ = 158745600.

The previous prime is 475075717. The next prime is 475075723. The reversal of 475075720 is 27570574.

It is an interprime number because it is at equal distance from previous prime (475075717) and next prime (475075723).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 475075720.

It is not an unprimeable number, because it can be changed into a prime (475075723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3025882 + ... + 3026038.

It is an arithmetic number, because the mean of its divisors is an integer number (9790470).

Almost surely, 2475075720 is an apocalyptic number.

475075720 is a gapful number since it is divisible by the number (40) 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 475075720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626590080).

475075720 is an abundant number, since it is smaller than the sum of its proper divisors (778104440).

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

475075720 is a wasteful number, since it uses less digits than its factorization.

475075720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 37.

The square root of 475075720 is about 21796.2317844163. The cubic root of 475075720 is about 780.2868329264.

The spelling of 475075720 in words is "four hundred seventy-five million, seventy-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 107 140 157 202 214 280 314 404 428 505 535 628 707 749 785 808 856 1010 1070 1099 1256 1414 1498 1570 2020 2140 2198 2828 2996 3140 3535 3745 4040 4280 4396 5495 5656 5992 6280 7070 7490 8792 10807 10990 14140 14980 15857 16799 21614 21980 28280 29960 31714 33598 43228 43960 54035 63428 67196 75649 79285 83995 86456 108070 110999 117593 126856 134392 151298 158570 167990 216140 221998 235186 302596 317140 335980 378245 432280 443996 470372 554995 587965 605192 634280 671960 756490 887992 940744 1109990 1175930 1512980 1696699 2219980 2351860 3025960 3393398 4439960 4703720 6786796 8483495 11876893 13573592 16966990 23753786 33933980 47507572 59384465 67867960 95015144 118768930 237537860 475075720