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49747152 = 24372131627
BaseRepresentation
bin1011110111000…
…1010011010000
310110121102021010
42331301103100
5100213402102
64534130520
71142562300
oct275612320
9113542233
1049747152
1126098854
12147b0a40
13a3ca2b0
14686d600
154579d6c
hex2f714d0

49747152 has 120 divisors (see below), whose sum is σ = 161093856. Its totient is φ = 13112064.

The previous prime is 49747141. The next prime is 49747153. The reversal of 49747152 is 25174794.

49747152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×497471522 = 4949558264222208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 49747152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49747153) 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 23 ways as a sum of consecutive naturals, for example, 29763 + ... + 31389.

Almost surely, 249747152 is an apocalyptic number.

49747152 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 49747152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80546928).

49747152 is an abundant number, since it is smaller than the sum of its proper divisors (111346704).

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

49747152 is a wasteful number, since it uses less digits than its factorization.

49747152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1652 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 49747152 is about 7053.1660975763. The cubic root of 49747152 is about 367.7811001249.

The spelling of 49747152 in words is "forty-nine million, seven hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1627 1911 2184 2352 2548 3254 3822 4368 4881 5096 6508 7644 9762 10192 11389 13016 15288 19524 21151 22778 26032 30576 34167 39048 42302 45556 63453 68334 78096 79723 84604 91112 126906 136668 148057 159446 169208 182224 239169 253812 273336 296114 318892 338416 444171 478338 507624 546672 592228 637784 888342 956676 1015248 1036399 1184456 1275568 1776684 1913352 2072798 2368912 3109197 3553368 3826704 4145596 6218394 7106736 8291192 12436788 16582384 24873576 49747152