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47292040 = 2352959691
BaseRepresentation
bin1011010001100…
…1111010001000
310021222200111001
42310121322020
544101321130
64405344344
71112655445
oct264317210
9107880431
1047292040
1124771234
1213a080b4
139a4a973
1463d09cc
1542426ca
hex2d19e88

47292040 has 64 divisors (see below), whose sum is σ = 112104000. Its totient is φ = 17928960.

The previous prime is 47292029. The next prime is 47292041. The reversal of 47292040 is 4029274.

It is not an unprimeable number, because it can be changed into a prime (47292041) 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, 68095 + ... + 68785.

It is an arithmetic number, because the mean of its divisors is an integer number (1751625).

Almost surely, 247292040 is an apocalyptic number.

47292040 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 47292040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56052000).

47292040 is an abundant number, since it is smaller than the sum of its proper divisors (64811960).

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

47292040 is a wasteful number, since it uses less digits than its factorization.

47292040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 47292040 is about 6876.9208225775. The cubic root of 47292040 is about 361.6285272936.

The spelling of 47292040 in words is "forty-seven million, two hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 116 118 145 232 236 290 295 472 580 590 691 1160 1180 1382 1711 2360 2764 3422 3455 5528 6844 6910 8555 13688 13820 17110 20039 27640 34220 40078 40769 68440 80156 81538 100195 160312 163076 200390 203845 326152 400780 407690 801560 815380 1182301 1630760 2364602 4729204 5911505 9458408 11823010 23646020 47292040