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48835872 = 253483227
BaseRepresentation
bin1011101001001…
…0110100100000
310101220010020000
42322102310200
5100000221442
64502420000
71132045431
oct272226440
9111803200
1048835872
1125626128
1214431600
13a16b587
1466b3488
154449d4c
hex2e92d20

48835872 has 120 divisors (see below), whose sum is σ = 145995696. Its totient is φ = 16011648.

The previous prime is 48835817. The next prime is 48835889. The reversal of 48835872 is 27853884.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 215023 + ... + 215249.

Almost surely, 248835872 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 48835872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997848).

48835872 is an abundant number, since it is smaller than the sum of its proper divisors (97159824).

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

48835872 is a wasteful number, since it uses less digits than its factorization.

48835872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 48835872 is about 6988.2667378972. The cubic root of 48835872 is about 365.5215462729.

The spelling of 48835872 in words is "forty-eight million, eight hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 83 96 108 144 162 166 216 227 249 288 324 332 432 454 498 648 664 681 747 864 908 996 1296 1328 1362 1494 1816 1992 2043 2241 2592 2656 2724 2988 3632 3984 4086 4482 5448 5976 6129 6723 7264 7968 8172 8964 10896 11952 12258 13446 16344 17928 18387 18841 21792 23904 24516 26892 32688 35856 36774 37682 49032 53784 56523 65376 71712 73548 75364 98064 107568 113046 147096 150728 169569 196128 215136 226092 294192 301456 339138 452184 508707 588384 602912 678276 904368 1017414 1356552 1526121 1808736 2034828 2713104 3052242 4069656 5426208 6104484 8139312 12208968 16278624 24417936 48835872