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48850824 = 23311199739
BaseRepresentation
bin1011101001011…
…0011110001000
310101220212201210
42322112132020
5100001211244
64503013120
71132140141
oct272263610
9111825653
1048850824
1125636390
121443a1a0
13a175319
1466b8ac8
15444e4b9
hex2e96788

48850824 has 64 divisors (see below), whose sum is σ = 140256000. Its totient is φ = 14022720.

The previous prime is 48850801. The next prime is 48850829. The reversal of 48850824 is 42805884.

48850824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48850829) 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, 147 + ... + 9885.

It is an arithmetic number, because the mean of its divisors is an integer number (2191500).

Almost surely, 248850824 is an apocalyptic number.

48850824 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 48850824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70128000).

48850824 is an abundant number, since it is smaller than the sum of its proper divisors (91405176).

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

48850824 is a wasteful number, since it uses less digits than its factorization.

48850824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 48850824 is about 6989.3364491917. The cubic root of 48850824 is about 365.5588461802.

The spelling of 48850824 in words is "forty-eight million, eight hundred fifty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 9739 19478 29217 38956 58434 77912 107129 116868 185041 214258 233736 321387 370082 428516 555123 642774 740164 857032 1110246 1285548 1480328 2035451 2220492 2571096 4070902 4440984 6106353 8141804 12212706 16283608 24425412 48850824