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474728064 = 2737915649
BaseRepresentation
bin11100010010111…
…100011010000000
31020002021200110220
4130102330122000
51433012244224
6115035023040
714523056556
oct3422743200
91202250426
10474728064
11223a76248
12112b9aa80
13774771a5
1447097bd6
152ba25279
hex1c4bc680

474728064 has 64 divisors (see below), whose sum is σ = 1277040000. Its totient is φ = 156229632.

The previous prime is 474728063. The next prime is 474728069. The reversal of 474728064 is 460827474.

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

It is not an unprimeable number, because it can be changed into a prime (474728063) 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, 22512 + ... + 38160.

It is an arithmetic number, because the mean of its divisors is an integer number (19953750).

Almost surely, 2474728064 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 474728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638520000).

474728064 is an abundant number, since it is smaller than the sum of its proper divisors (802311936).

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

474728064 is a wasteful number, since it uses less digits than its factorization.

474728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15745 (or 15733 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 474728064 is about 21788.2551848467. The cubic root of 474728064 is about 780.0964509263.

The spelling of 474728064 in words is "four hundred seventy-four million, seven hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 15649 30336 31298 46947 62596 93894 125192 187788 250384 375576 500768 751152 1001536 1236271 1502304 2003072 2472542 3004608 3708813 4945084 6009216 7417626 9890168 14835252 19780336 29670504 39560672 59341008 79121344 118682016 158242688 237364032 474728064