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49130952 = 233131759157
BaseRepresentation
bin1011101101101…
…0110111001000
310102110002222220
42323122313020
5100034142302
64513014040
71134414633
oct273326710
9112402886
1049130952
11258078a2
1214554320
13a242990
14674cc1a
1544a74bc
hex2edadc8

49130952 has 128 divisors (see below), whose sum is σ = 143337600. Its totient is φ = 13897728.

The previous prime is 49130951. The next prime is 49130989. The reversal of 49130952 is 25903194.

It is not an unprimeable number, because it can be changed into a prime (49130951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312858 + ... + 313014.

It is an arithmetic number, because the mean of its divisors is an integer number (1119825).

Almost surely, 249130952 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 49130952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71668800).

49130952 is an abundant number, since it is smaller than the sum of its proper divisors (94206648).

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

49130952 is a wasteful number, since it uses less digits than its factorization.

49130952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 49130952 is about 7009.3474731961. The cubic root of 49130952 is about 366.2562629439.

The spelling of 49130952 in words is "forty-nine million, one hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 59 68 78 102 104 118 136 156 157 177 204 221 236 312 314 354 408 442 471 472 628 663 708 767 884 942 1003 1256 1326 1416 1534 1768 1884 2006 2041 2301 2652 2669 3009 3068 3768 4012 4082 4602 5304 5338 6018 6123 6136 8007 8024 8164 9204 9263 10676 12036 12246 13039 16014 16328 18408 18526 21352 24072 24492 26078 27789 32028 34697 37052 39117 48984 52156 55578 64056 69394 74104 78234 104091 104312 111156 120419 138788 156468 157471 208182 222312 240838 277576 312936 314942 361257 416364 472413 481676 629884 722514 832728 944826 963352 1259768 1445028 1889652 2047123 2890056 3779304 4094246 6141369 8188492 12282738 16376984 24565476 49130952