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48765888 = 263423409
BaseRepresentation
bin1011101000000…
…1101111000000
310101202120020000
42322001233000
544441002023
64501120000
71131334413
oct272015700
9111676200
1048765888
1125588596
12143b9000
13a145772
146695b7a
154434243
hex2e81bc0

48765888 has 140 divisors (see below), whose sum is σ = 151211280. Its totient is φ = 15510528.

The previous prime is 48765887. The next prime is 48765917. The reversal of 48765888 is 88856784.

It is a super-2 number, since 2×487658882 = 4756223664857088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48765887) 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 19 ways as a sum of consecutive naturals, for example, 119028 + ... + 119436.

Almost surely, 248765888 is an apocalyptic number.

48765888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48765888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75605640).

48765888 is an abundant number, since it is smaller than the sum of its proper divisors (102445392).

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

48765888 is a wasteful number, since it uses less digits than its factorization.

48765888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 437 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 48765888 is about 6983.2576925100. The cubic root of 48765888 is about 365.3468598659.

The spelling of 48765888 in words is "forty-eight million, seven hundred sixty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 409 414 432 552 576 621 648 736 818 828 864 1104 1227 1242 1296 1472 1636 1656 1728 1863 2208 2454 2484 2592 3272 3312 3681 3726 4416 4908 4968 5184 6544 6624 7362 7452 9407 9816 9936 11043 13088 13248 14724 14904 18814 19632 19872 22086 26176 28221 29448 29808 33129 37628 39264 39744 44172 56442 58896 59616 66258 75256 78528 84663 88344 112884 117792 119232 132516 150512 169326 176688 225768 235584 253989 265032 301024 338652 353376 451536 507978 530064 602048 677304 706752 761967 903072 1015956 1060128 1354608 1523934 1806144 2031912 2120256 2709216 3047868 4063824 5418432 6095736 8127648 12191472 16255296 24382944 48765888