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47974680 = 23345131767
BaseRepresentation
bin1011011100000…
…0100100011000
310100021100220000
42313000210120
544240142210
64432133000
71121530605
oct267004430
9110240800
1047974680
11250980a6
1214097160
139c295b0
14652b6ac
154329ac0
hex2dc0918

47974680 has 320 divisors, whose sum is σ = 186611040. Its totient is φ = 10948608.

The previous prime is 47974679. The next prime is 47974691. The reversal of 47974680 is 8647974.

It is a super-2 number, since 2×479746802 = 4603139842204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 716007 + ... + 716073.

Almost surely, 247974680 is an apocalyptic number.

47974680 is a gapful number since it is divisible by the number (40) 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 47974680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93305520).

47974680 is an abundant number, since it is smaller than the sum of its proper divisors (138636360).

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

47974680 is a wasteful number, since it uses less digits than its factorization.

47974680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 47974680 is about 6926.3756756330. The cubic root of 47974680 is about 363.3602052528.

The spelling of 47974680 in words is "forty-seven million, nine hundred seventy-four thousand, six hundred eighty".