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47974416 = 2437712011
BaseRepresentation
bin1011011100000…
…0100000010000
310100021100112020
42313000200100
544240140131
64432131440
71121530050
oct267004020
9110240466
1047974416
1125097986
1214096b80
139c29439
14652b560
154329996
hex2dc0810

47974416 has 80 divisors (see below), whose sum is σ = 143705088. Its totient is φ = 13507200.

The previous prime is 47974397. The next prime is 47974417. The reversal of 47974416 is 61447974.

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

It is not an unprimeable number, because it can be changed into a prime (47974417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22851 + ... + 24861.

Almost surely, 247974416 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 47974416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71852544).

47974416 is an abundant number, since it is smaller than the sum of its proper divisors (95730672).

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

47974416 is a wasteful number, since it uses less digits than its factorization.

47974416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2094 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 47974416 is about 6926.3566180208. The cubic root of 47974416 is about 363.3595387397.

The spelling of 47974416 in words is "forty-seven million, nine hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2011 2982 3408 3976 4022 5964 6033 7952 8044 11928 12066 14077 16088 23856 24132 28154 32176 42231 48264 56308 84462 96528 112616 142781 168924 225232 285562 337848 428343 571124 675696 856686 999467 1142248 1713372 1998934 2284496 2998401 3426744 3997868 5996802 6853488 7995736 11993604 15991472 23987208 47974416