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476732740 = 225112296793
BaseRepresentation
bin11100011010100…
…101110101000100
31020020001112101011
4130122211311010
51434020421430
6115150012004
714546106241
oct3432456504
91206045334
10476732740
11225115400
121137a7004
13779c97a3
144745a5c8
152bcbe22a
hex1c6a5d44

476732740 has 72 divisors (see below), whose sum is σ = 1138538520. Its totient is φ = 167354880.

The previous prime is 476732731. The next prime is 476732741. The reversal of 476732740 is 47237674.

It can be written as a sum of positive squares in 4 ways, for example, as 5234944 + 471497796 = 2288^2 + 21714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 476732693 and 476732702.

It is not an unprimeable number, because it can be changed into a prime (476732741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66784 + ... + 73576.

It is an arithmetic number, because the mean of its divisors is an integer number (15813035).

Almost surely, 2476732740 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 476732740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569269260).

476732740 is an abundant number, since it is smaller than the sum of its proper divisors (661805780).

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

476732740 is a wasteful number, since it uses less digits than its factorization.

476732740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The square root of 476732740 is about 21834.2103131760. The cubic root of 476732740 is about 781.1929695756.

The spelling of 476732740 in words is "four hundred seventy-six million, seven hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 580 605 638 1210 1276 1595 2420 3190 3509 6380 6793 7018 13586 14036 17545 27172 33965 35090 67930 70180 74723 135860 149446 196997 298892 373615 393994 747230 787988 821953 984985 1494460 1643906 1969970 2166967 3287812 3939940 4109765 4333934 8219530 8667868 10834835 16439060 21669670 23836637 43339340 47673274 95346548 119183185 238366370 476732740