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48837152 = 2571331541
BaseRepresentation
bin1011101001001…
…1001000100000
310101220011222102
42322103020200
5100000242102
64502425532
71132052240
oct272231040
9111804872
1048837152
1125627091
12144322a8
13a16c030
1466b3b20
15444a402
hex2e93220

48837152 has 96 divisors (see below), whose sum is σ = 122379264. Its totient is φ = 18662400.

The previous prime is 48837143. The next prime is 48837157. The reversal of 48837152 is 25173884.

It is a super-2 number, since 2×488371522 = 4770134830942208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48837157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90002 + ... + 90542.

It is an arithmetic number, because the mean of its divisors is an integer number (1274784).

Almost surely, 248837152 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 48837152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61189632).

48837152 is an abundant number, since it is smaller than the sum of its proper divisors (73542112).

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

48837152 is a wasteful number, since it uses less digits than its factorization.

48837152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 48837152 is about 6988.3583193766. The cubic root of 48837152 is about 365.5247397143.

The spelling of 48837152 in words is "forty-eight million, eight hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 182 208 217 224 248 364 403 416 434 496 541 728 806 868 992 1082 1456 1612 1736 2164 2821 2912 3224 3472 3787 4328 5642 6448 6944 7033 7574 8656 11284 12896 14066 15148 16771 17312 22568 28132 30296 33542 45136 49231 56264 60592 67084 90272 98462 112528 117397 121184 134168 196924 218023 225056 234794 268336 393848 436046 469588 536672 787696 872092 939176 1526161 1575392 1744184 1878352 3052322 3488368 3756704 6104644 6976736 12209288 24418576 48837152