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47485920 = 253598929
BaseRepresentation
bin1011010100100…
…1001111100000
310022100112102210
42311021033200
544124022140
64413442120
71114423626
oct265111740
9108315383
1047485920
1124893969
1213aa0340
139ab7ca1
146441516
15427ed80
hex2d493e0

47485920 has 48 divisors (see below), whose sum is σ = 149582160. Its totient is φ = 12662784.

The previous prime is 47485901. The next prime is 47485927. The reversal of 47485920 is 2958474.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47485927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48985 + ... + 49944.

It is an arithmetic number, because the mean of its divisors is an integer number (3116295).

Almost surely, 247485920 is an apocalyptic number.

47485920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47485920 is an abundant number, since it is smaller than the sum of its proper divisors (102096240).

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

47485920 is a wasteful number, since it uses less digits than its factorization.

47485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98947 (or 98939 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 47485920 is about 6891.0028297774. The cubic root of 47485920 is about 362.1220349015.

Subtracting from 47485920 its sum of digits (39), we obtain a square (47485881 = 68912).

The spelling of 47485920 in words is "forty-seven million, four hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 98929 197858 296787 395716 494645 593574 791432 989290 1187148 1483935 1582864 1978580 2374296 2967870 3165728 3957160 4748592 5935740 7914320 9497184 11871480 15828640 23742960 47485920