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49345164 = 2232113532
BaseRepresentation
bin1011110000111…
…1001010001100
310102211222211200
42330033022030
5100113021124
64521345500
71136266311
oct274171214
9112758750
1049345164
1125943830
1214638290
13a2b932b
1467a6d08
1544eabc9
hex2f0f28c

49345164 has 54 divisors (see below), whose sum is σ = 136459596. Its totient is φ = 14910720.

The previous prime is 49345133. The next prime is 49345183. The reversal of 49345164 is 46154394.

49345164 is a `hidden beast` number, since 493 + 4 + 5 + 164 = 666.

49345164 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 (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 139612 + ... + 139964.

Almost surely, 249345164 is an apocalyptic number.

49345164 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 49345164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68229798).

49345164 is an abundant number, since it is smaller than the sum of its proper divisors (87114432).

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

49345164 is a wasteful number, since it uses less digits than its factorization.

49345164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 369 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 49345164 is about 7024.6113059727. The cubic root of 49345164 is about 366.7877862493.

The spelling of 49345164 in words is "forty-nine million, three hundred forty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 353 396 706 1059 1412 2118 3177 3883 4236 6354 7766 11649 12708 15532 23298 34947 46596 69894 124609 139788 249218 373827 498436 747654 1121481 1370699 1495308 2242962 2741398 4112097 4485924 5482796 8224194 12336291 16448388 24672582 49345164