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48799344 = 24311293187
BaseRepresentation
bin1011101000100…
…1111001110000
310101211021010010
42322021321300
544443034334
64501534520
71131534066
oct272117160
9111737103
1048799344
1125600740
1214414440
13a157a69
1466a4036
15443e0e9
hex2e89e70

48799344 has 80 divisors (see below), whose sum is σ = 142312320. Its totient is φ = 14273280.

The previous prime is 48799291. The next prime is 48799349. The reversal of 48799344 is 44399784.

48799344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 48799293 and 48799302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48799349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13719 + ... + 16905.

It is an arithmetic number, because the mean of its divisors is an integer number (1778904).

Almost surely, 248799344 is an apocalyptic number.

48799344 is a gapful number since it is divisible by the number (44) 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 48799344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71156160).

48799344 is an abundant number, since it is smaller than the sum of its proper divisors (93512976).

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

48799344 is a wasteful number, since it uses less digits than its factorization.

48799344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3232 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 48799344 is about 6985.6527254080. The cubic root of 48799344 is about 365.4303899104.

The spelling of 48799344 in words is "forty-eight million, seven hundred ninety-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3187 3828 5104 6374 7656 9561 12748 15312 19122 25496 35057 38244 50992 70114 76488 92423 105171 140228 152976 184846 210342 277269 280456 369692 420684 554538 560912 739384 841368 1016653 1109076 1478768 1682736 2033306 2218152 3049959 4066612 4436304 6099918 8133224 12199836 16266448 24399672 48799344