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512413044 = 22311132312983
BaseRepresentation
bin11110100010101…
…100110101110100
31022201012021112220
4132202230311310
52022134204134
6122502442340
715461303403
oct3642546564
91281167486
10512413044
11243275560
121237333b0
13822100b0
144c0a763a
152eebb149
hex1e8acd74

512413044 has 96 divisors (see below), whose sum is σ = 1465841664. Its totient is φ = 137089920.

The previous prime is 512413009. The next prime is 512413051. The reversal of 512413044 is 440314215.

It is a super-2 number, since 2×5124130442 = 525134255322691872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32977 + ... + 45959.

It is an arithmetic number, because the mean of its divisors is an integer number (15269184).

Almost surely, 2512413044 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 512413044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732920832).

512413044 is an abundant number, since it is smaller than the sum of its proper divisors (953428620).

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

512413044 is a wasteful number, since it uses less digits than its factorization.

512413044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13037 (or 13035 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 512413044 is about 22636.5422271159. The cubic root of 512413044 is about 800.2150692597.

Adding to 512413044 its reverse (440314215), we get a palindrome (952727259).

It can be divided in two parts, 51241 and 3044, that added together give a triangular number (54285 = T329).

The spelling of 512413044 in words is "five hundred twelve million, four hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 572 598 759 858 897 1012 1196 1518 1716 1794 3036 3289 3588 6578 9867 12983 13156 19734 25966 38949 39468 51932 77898 142813 155796 168779 285626 298609 337558 428439 506337 571252 597218 675116 856878 895827 1012674 1194436 1713756 1791654 1856569 2025348 3284699 3583308 3713138 3881917 5569707 6569398 7426276 7763834 9854097 11139414 11645751 13138796 15527668 19708194 22278828 23291502 39416388 42701087 46583004 85402174 128103261 170804348 256206522 512413044