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47090952 = 23321779487
BaseRepresentation
bin1011001110100…
…0110100001000
310021121110122100
42303220310020
544023402302
64401153400
71111160256
oct263506410
9107543570
1047090952
1124644147
121392b860
1399aa28c
14637b5d6
154202d1c
hex2ce8d08

47090952 has 96 divisors (see below), whose sum is σ = 137030400. Its totient is φ = 14556672.

The previous prime is 47090933. The next prime is 47090957. The reversal of 47090952 is 25909074.

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

It is not an unprimeable number, because it can be changed into a prime (47090957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96453 + ... + 96939.

It is an arithmetic number, because the mean of its divisors is an integer number (1427400).

Almost surely, 247090952 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 47090952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68515200).

47090952 is an abundant number, since it is smaller than the sum of its proper divisors (89939448).

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

47090952 is a wasteful number, since it uses less digits than its factorization.

47090952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 47090952 is about 6862.2847507226. The cubic root of 47090952 is about 361.1152452141.

The spelling of 47090952 in words is "forty-seven million, ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 79 102 136 153 158 204 237 306 316 408 474 487 612 632 711 948 974 1224 1343 1422 1461 1896 1948 2686 2844 2922 3896 4029 4383 5372 5688 5844 8058 8279 8766 10744 11688 12087 16116 16558 17532 24174 24837 32232 33116 35064 38473 48348 49674 66232 74511 76946 96696 99348 115419 149022 153892 198696 230838 298044 307784 346257 461676 596088 654041 692514 923352 1308082 1385028 1962123 2616164 2770056 3924246 5232328 5886369 7848492 11772738 15696984 23545476 47090952