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49244832 = 25327131879
BaseRepresentation
bin1011101111011…
…0101010100000
310102122220012200
42323312222200
5100101313312
64515253200
71135400640
oct273665240
9112586180
1049244832
112588540a
12145aa200
13a282770
14677c520
1544cb0dc
hex2ef6aa0

49244832 has 144 divisors (see below), whose sum is σ = 172448640. Its totient is φ = 12980736.

The previous prime is 49244831. The next prime is 49244837. The reversal of 49244832 is 23844294.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49244831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25269 + ... + 27147.

It is an arithmetic number, because the mean of its divisors is an integer number (1197560).

Almost surely, 249244832 is an apocalyptic number.

49244832 is a gapful number since it is divisible by the number (42) 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 49244832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86224320).

49244832 is an abundant number, since it is smaller than the sum of its proper divisors (123203808).

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

49244832 is a wasteful number, since it uses less digits than its factorization.

49244832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1904 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 49244832 is about 7017.4662093950. The cubic root of 49244832 is about 366.5390248091.

The spelling of 49244832 in words is "forty-nine million, two hundred forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 1879 2016 2184 2912 3276 3744 3758 4368 5637 6552 7516 8736 11274 13104 13153 15032 16911 22548 24427 26208 26306 30064 33822 39459 45096 48854 52612 60128 67644 73281 78918 90192 97708 105224 118377 135288 146562 157836 170989 180384 195416 210448 219843 236754 270576 293124 315672 341978 390832 420896 439686 473508 512967 541152 586248 631344 683956 781664 879372 947016 1025934 1172496 1262688 1367912 1538901 1758744 1894032 2051868 2344992 2735824 3077802 3517488 3788064 4103736 5471648 6155604 7034976 8207472 12311208 16414944 24622416 49244832