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474914960 = 24513456649
BaseRepresentation
bin11100010011101…
…010000010010000
31020002122011211222
4130103222002100
51433034234320
6115043024212
714524465502
oct3423520220
91202564758
10474914960
11224093703
1211306b068
1377511290
1447105d72
152ba60825
hex1c4ea090

474914960 has 40 divisors (see below), whose sum is σ = 1189116600. Its totient is φ = 175352832.

The previous prime is 474914939. The next prime is 474914989. The reversal of 474914960 is 69419474.

It can be written as a sum of positive squares in 4 ways, for example, as 98089216 + 376825744 = 9904^2 + 19412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227285 + ... + 229364.

It is an arithmetic number, because the mean of its divisors is an integer number (29727915).

Almost surely, 2474914960 is an apocalyptic number.

474914960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

474914960 is an abundant number, since it is smaller than the sum of its proper divisors (714201640).

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

474914960 is a wasteful number, since it uses less digits than its factorization.

474914960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456675 (or 456669 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 474914960 is about 21792.5436789742. The cubic root of 474914960 is about 780.1988097211.

The spelling of 474914960 in words is "four hundred seventy-four million, nine hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 456649 913298 1826596 2283245 3653192 4566490 5936437 7306384 9132980 11872874 18265960 23745748 29682185 36531920 47491496 59364370 94982992 118728740 237457480 474914960