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47380768 = 2517251347
BaseRepresentation
bin1011010010111…
…1100100100000
310022011012012021
42310233210200
544112141033
64411311224
71113505231
oct264574440
9108135167
1047380768
1124821966
1213a4b514
139a7c176
146415088
15425db2d
hex2d2f920

47380768 has 48 divisors (see below), whose sum is σ = 99447264. Its totient is φ = 22144000.

The previous prime is 47380733. The next prime is 47380793. The reversal of 47380768 is 86708374.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136371 + ... + 136717.

It is an arithmetic number, because the mean of its divisors is an integer number (2071818).

Almost surely, 247380768 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 47380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49723632).

47380768 is an abundant number, since it is smaller than the sum of its proper divisors (52066496).

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

47380768 is a wasteful number, since it uses less digits than its factorization.

47380768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 47380768 is about 6883.3689426036. The cubic root of 47380768 is about 361.8545451056.

The spelling of 47380768 in words is "forty-seven million, three hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 251 272 347 502 544 694 1004 1388 2008 2776 4016 4267 5552 5899 8032 8534 11104 11798 17068 23596 34136 47192 68272 87097 94384 136544 174194 188768 348388 696776 1393552 1480649 2787104 2961298 5922596 11845192 23690384 47380768