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474127506 = 2355379233
BaseRepresentation
bin11100010000101…
…001110010010010
31020001011011200000
4130100221302102
51432334040011
6115014110430
714515005636
oct3420516222
91201134600
10474127506
112236a6016
1211294b416
13772c6a28
1446d7cdc6
152b957356
hex1c429c92

474127506 has 96 divisors (see below), whose sum is σ = 1103880960. Its totient is φ = 152440704.

The previous prime is 474127499. The next prime is 474127523. The reversal of 474127506 is 605721474.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2034766 + ... + 2034998.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 2474127506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474127506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551940480).

474127506 is an abundant number, since it is smaller than the sum of its proper divisors (629753454).

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

474127506 is a wasteful number, since it uses less digits than its factorization.

474127506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 474127506 is about 21774.4691324496. The cubic root of 474127506 is about 779.7673566540.

The spelling of 474127506 in words is "four hundred seventy-four million, one hundred twenty-seven thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 53 54 79 81 106 158 159 162 233 237 243 318 466 474 477 486 699 711 954 1398 1422 1431 2097 2133 2862 4187 4194 4266 4293 6291 6399 8374 8586 12349 12561 12582 12798 12879 18407 18873 19197 24698 25122 25758 36814 37047 37683 37746 38394 55221 56619 74094 75366 110442 111141 113049 113238 165663 222282 226098 331326 333423 339147 496989 666846 678294 975571 993978 1000269 1017441 1490967 1951142 2000538 2034882 2926713 2981934 3000807 4472901 5853426 6001614 8780139 8945802 17560278 26340417 52680834 79021251 158042502 237063753 474127506