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474484464 = 243230710733
BaseRepresentation
bin11100010010000…
…000111011110000
31020001211022022200
4130102000323300
51432432000324
6115025503200
714521023426
oct3422007360
91201738280
10474484464
1122391a223
12112aa1b00
13773c034c
1447033116
152b9c7ec9
hex1c480ef0

474484464 has 60 divisors (see below), whose sum is σ = 1332347016. Its totient is φ = 157631616.

The previous prime is 474484463. The next prime is 474484477. The reversal of 474484464 is 464484474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474484463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38842 + ... + 49574.

Almost surely, 2474484464 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 474484464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666173508).

474484464 is an abundant number, since it is smaller than the sum of its proper divisors (857862552).

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

474484464 is a wasteful number, since it uses less digits than its factorization.

474484464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11054 (or 11045 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 45.

The square root of 474484464 is about 21782.6642998509. The cubic root of 474484464 is about 779.9629962722.

The spelling of 474484464 in words is "four hundred seventy-four million, four hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 10733 11052 14736 21466 22104 32199 42932 44208 64398 85864 96597 128796 171728 193194 257592 386388 515184 772776 1545552 3295031 6590062 9885093 13180124 19770186 26360248 29655279 39540372 52720496 59310558 79080744 118621116 158161488 237242232 474484464