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474349008 = 24372414919
BaseRepresentation
bin11100010001011…
…111110111010000
31020001120102111210
4130101133313100
51432413132013
6115022540120
714516620500
oct3421376720
91201512453
10474349008
11223837481
12112a37640
13773737b3
1446dd9a00
152b99ccc3
hex1c45fdd0

474349008 has 120 divisors (see below), whose sum is σ = 1460531520. Its totient is φ = 132195840.

The previous prime is 474348989. The next prime is 474349009. The reversal of 474349008 is 800943474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474349009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93973 + ... + 98891.

It is an arithmetic number, because the mean of its divisors is an integer number (12171096).

Almost surely, 2474349008 is an apocalyptic number.

474349008 is a gapful number since it is divisible by the number (48) 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 474349008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730265760).

474349008 is an abundant number, since it is smaller than the sum of its proper divisors (986182512).

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

474349008 is a wasteful number, since it uses less digits than its factorization.

474349008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 474349008 is about 21779.5548163869. The cubic root of 474349008 is about 779.8887678334. Note that the first 3 decimals are identical.

The spelling of 474349008 in words is "four hundred seventy-four million, three hundred forty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 49 56 82 84 98 112 123 147 164 168 196 246 287 294 328 336 392 492 574 588 656 784 861 984 1148 1176 1722 1968 2009 2296 2352 3444 4018 4592 4919 6027 6888 8036 9838 12054 13776 14757 16072 19676 24108 29514 32144 34433 39352 48216 59028 68866 78704 96432 103299 118056 137732 201679 206598 236112 241031 275464 403358 413196 482062 550928 605037 723093 806716 826392 964124 1210074 1411753 1446186 1613432 1652784 1928248 2420148 2823506 2892372 3226864 3856496 4235259 4840296 5647012 5784744 8470518 9680592 9882271 11294024 11569488 16941036 19764542 22588048 29646813 33882072 39529084 59293626 67764144 79058168 118587252 158116336 237174504 474349008