Search a number
-
+
474725440 = 2657211931
BaseRepresentation
bin11100010010111…
…011110001000000
31020002021112212201
4130102323301000
51433012203230
6115035002544
714523046120
oct3422736100
91202245781
10474725440
11223a74282
12112b99454
1377475c37
1447096c80
152ba245ca
hex1c4bbc40

474725440 has 56 divisors (see below), whose sum is σ = 1291937472. Its totient is φ = 162762240.

The previous prime is 474725423. The next prime is 474725443. The reversal of 474725440 is 44527474.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 474725440.

It is not an unprimeable number, because it can be changed into a prime (474725443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103726 + ... + 108205.

It is an arithmetic number, because the mean of its divisors is an integer number (23070312).

Almost surely, 2474725440 is an apocalyptic number.

474725440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

474725440 is an abundant number, since it is smaller than the sum of its proper divisors (817212032).

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

474725440 is a wasteful number, since it uses less digits than its factorization.

474725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211955 (or 211945 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 37.

The square root of 474725440 is about 21788.1949688358. The cubic root of 474725440 is about 780.0950136284.

The spelling of 474725440 in words is "four hundred seventy-four million, seven hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 211931 423862 847724 1059655 1483517 1695448 2119310 2967034 3390896 4238620 5934068 6781792 7417585 8477240 11868136 13563584 14835170 16954480 23736272 29670340 33908960 47472544 59340680 67817920 94945088 118681360 237362720 474725440