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48450272 = 2513217231
BaseRepresentation
bin1011100011010…
…0101011100000
310101011112021112
42320310223200
544400402042
64450242452
71125551303
oct270645340
9111145245
1048450272
1125392452
1214286428
13a064c00
146612b3a
1543c0982
hex2e34ae0

48450272 has 108 divisors (see below), whose sum is σ = 113260896. Its totient is φ = 20367360.

The previous prime is 48450263. The next prime is 48450299. The reversal of 48450272 is 27205484.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1562897 + ... + 1562927.

It is an arithmetic number, because the mean of its divisors is an integer number (1048712).

Almost surely, 248450272 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 48450272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56630448).

48450272 is an abundant number, since it is smaller than the sum of its proper divisors (64810624).

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

48450272 is a wasteful number, since it uses less digits than its factorization.

48450272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 48450272 is about 6960.6229606264. The cubic root of 48450272 is about 364.5569704526.

The spelling of 48450272 in words is "forty-eight million, four hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 31 32 34 52 62 68 104 124 136 169 208 221 248 272 289 338 403 416 442 496 527 544 578 676 806 884 992 1054 1156 1352 1612 1768 2108 2312 2704 2873 3224 3536 3757 4216 4624 5239 5408 5746 6448 6851 7072 7514 8432 8959 9248 10478 11492 12896 13702 15028 16864 17918 20956 22984 27404 30056 35836 41912 45968 48841 54808 60112 71672 83824 89063 91936 97682 109616 116467 120224 143344 167648 178126 195364 219232 232934 286688 356252 390728 465868 712504 781456 931736 1425008 1514071 1562912 1863472 2850016 3028142 3726944 6056284 12112568 24225136 48450272