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47057088 = 26313171109
BaseRepresentation
bin1011001110000…
…0100011000000
310021112202012010
42303200203000
544021311323
64400332520
71110656451
oct263404300
9107482163
1047057088
1124620761
1213914140
139997a40
14636d128
1541e7c93
hex2ce08c0

47057088 has 112 divisors (see below), whose sum is σ = 142097760. Its totient is φ = 13615104.

The previous prime is 47057033. The next prime is 47057113. The reversal of 47057088 is 88075074.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41878 + ... + 42986.

It is an arithmetic number, because the mean of its divisors is an integer number (1268730).

Almost surely, 247057088 is an apocalyptic number.

47057088 is a gapful number since it is divisible by the number (48) 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 47057088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71048880).

47057088 is an abundant number, since it is smaller than the sum of its proper divisors (95040672).

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

47057088 is a wasteful number, since it uses less digits than its factorization.

47057088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 47057088 is about 6859.8169071776. The cubic root of 47057088 is about 361.0286628408.

The spelling of 47057088 in words is "forty-seven million, fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1109 1248 1326 1632 1768 2218 2496 2652 3264 3327 3536 4436 5304 6654 7072 8872 10608 13308 14144 14417 17744 18853 21216 26616 28834 35488 37706 42432 43251 53232 56559 57668 70976 75412 86502 106464 113118 115336 150824 173004 212928 226236 230672 245089 301648 346008 452472 461344 490178 603296 692016 735267 904944 922688 980356 1206592 1384032 1470534 1809888 1960712 2768064 2941068 3619776 3921424 5882136 7842848 11764272 15685696 23528544 47057088