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474980352 = 2133711251
BaseRepresentation
bin11100010011111…
…010000000000000
31020002202111112220
4130103322000000
51433043332402
6115044251040
714525160240
oct3423720000
91202674486
10474980352
11224128850
121130a0a80
1377534c82
1447121b20
152ba74dbc
hex1c4fa000

474980352 has 224 divisors, whose sum is σ = 1585350144. Its totient is φ = 122880000.

The previous prime is 474980347. The next prime is 474980369. The reversal of 474980352 is 253089474.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1892227 + ... + 1892477.

It is an arithmetic number, because the mean of its divisors is an integer number (7077456).

Almost surely, 2474980352 is an apocalyptic number.

474980352 is a gapful number since it is divisible by the number (42) 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 474980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792675072).

474980352 is an abundant number, since it is smaller than the sum of its proper divisors (1110369792).

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

474980352 is a wasteful number, since it uses less digits than its factorization.

474980352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 474980352 is about 21794.0439570081. The cubic root of 474980352 is about 780.2346171276.

The spelling of 474980352 in words is "four hundred seventy-four million, nine hundred eighty thousand, three hundred fifty-two".