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472913024 = 274197929
BaseRepresentation
bin11100001100000…
…001010010000000
31012221212110201012
4130030001102000
51432031204044
6114532100052
714501460113
oct3414012200
91187773635
10472913024
11222a46611
12112464628
1376c8ccbc
1446b4457a
152b7b759e
hex1c301480

472913024 has 64 divisors (see below), whose sum is σ = 976109400. Its totient is φ = 228065280.

The previous prime is 472913009. The next prime is 472913027. The reversal of 472913024 is 420319274.

It can be written as a sum of positive squares in 4 ways, for example, as 128142400 + 344770624 = 11320^2 + 18568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (472913027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508592 + ... + 509520.

Almost surely, 2472913024 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 472913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488054700).

472913024 is an abundant number, since it is smaller than the sum of its proper divisors (503196376).

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

472913024 is an equidigital number, since it uses as much as digits as its factorization.

472913024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 472913024 is about 21746.5634986312. The cubic root of 472913024 is about 779.1009935948.

The spelling of 472913024 in words is "four hundred seventy-two million, nine hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 97 128 164 194 328 388 656 776 929 1312 1552 1858 2624 3104 3716 3977 5248 6208 7432 7954 12416 14864 15908 29728 31816 38089 59456 63632 76178 90113 118912 127264 152356 180226 254528 304712 360452 509056 609424 720904 1218848 1441808 2437696 2883616 3694633 4875392 5767232 7389266 11534464 14778532 29557064 59114128 118228256 236456512 472913024