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49125516 = 223112231471
BaseRepresentation
bin1011101101100…
…1100010001100
310102102211112120
42323121202030
5100034004031
64512532540
71134363036
oct273314214
9112384476
1049125516
1125803800
1214551150
13a24036b
14674ac56
1544a5a96
hex2ed988c

49125516 has 72 divisors (see below), whose sum is σ = 131561472. Its totient is φ = 14229600.

The previous prime is 49125511. The next prime is 49125521. The reversal of 49125516 is 61552194.

49125516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49125511) and next prime (49125521).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (49125511) 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, 32661 + ... + 34131.

Almost surely, 249125516 is an apocalyptic number.

49125516 is a gapful number since it is divisible by the number (46) 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 49125516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65780736).

49125516 is an abundant number, since it is smaller than the sum of its proper divisors (82435956).

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

49125516 is a wasteful number, since it uses less digits than its factorization.

49125516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1510 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 49125516 is about 7008.9596945624. The cubic root of 49125516 is about 366.2427545383.

The spelling of 49125516 in words is "forty-nine million, one hundred twenty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1471 1518 2783 2942 3036 4413 5566 5884 8349 8826 11132 16181 16698 17652 32362 33396 33833 48543 64724 67666 97086 101499 135332 177991 194172 202998 355982 372163 405996 533973 711964 744326 1067946 1116489 1488652 2135892 2232978 4093793 4465956 8187586 12281379 16375172 24562758 49125516