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46049136 = 2437314421
BaseRepresentation
bin1010111110101…
…0011101110000
310012122112112120
42233222131300
543242033021
64322554240
71066261020
oct257523560
9105575476
1046049136
1123aa2441
1213508980
139704013
146189a80
1540992c6
hex2bea770

46049136 has 80 divisors (see below), whose sum is σ = 140371968. Its totient is φ = 12729600.

The previous prime is 46049131. The next prime is 46049149. The reversal of 46049136 is 63194064.

It is a super-3 number, since 3×460491363 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46049097 and 46049106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46049131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8206 + ... + 12626.

Almost surely, 246049136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46049136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70185984).

46049136 is an abundant number, since it is smaller than the sum of its proper divisors (94322832).

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

46049136 is a wasteful number, since it uses less digits than its factorization.

46049136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 46049136 is about 6785.9513702944. The cubic root of 46049136 is about 358.4323189791.

The spelling of 46049136 in words is "forty-six million, forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 4421 5208 8842 10416 13263 17684 26526 30947 35368 53052 61894 70736 92841 106104 123788 137051 185682 212208 247576 274102 371364 411153 495152 548204 742728 822306 959357 1096408 1485456 1644612 1918714 2192816 2878071 3289224 3837428 5756142 6578448 7674856 11512284 15349712 23024568 46049136