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47038464 = 214321129
BaseRepresentation
bin1011001101110…
…0000000000000
310021111210122100
42303130000000
544020212324
64400110400
71110551244
oct263340000
9107453570
1047038464
1124608770
1213905400
13998c415
146366424
1541e24c9
hex2cdc000

47038464 has 180 divisors, whose sum is σ = 153349560. Its totient is φ = 13762560.

The previous prime is 47038447. The next prime is 47038477. The reversal of 47038464 is 46483074.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1622002 + ... + 1622030.

It is an arithmetic number, because the mean of its divisors is an integer number (851942).

Almost surely, 247038464 is an apocalyptic number.

47038464 is a gapful number since it is divisible by the number (44) 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 47038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76674780).

47038464 is an abundant number, since it is smaller than the sum of its proper divisors (106311096).

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

47038464 is a wasteful number, since it uses less digits than its factorization.

47038464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 47038464 is about 6858.4593022048. The cubic root of 47038464 is about 360.9810278983.

The spelling of 47038464 in words is "forty-seven million, thirty-eight thousand, four hundred sixty-four".