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413736972 = 2231123136277
BaseRepresentation
bin11000101010010…
…010000000001100
31001211112000102120
4120222102000030
51321404040342
6105015452540
713152464145
oct3052220014
91054460376
10413736972
111a25a8790
12b6687150
136794109c
143cd3cacc
15264c8aec
hex18a9200c

413736972 has 48 divisors (see below), whose sum is σ = 1098945792. Its totient is φ = 119922880.

The previous prime is 413736959. The next prime is 413736977. The reversal of 413736972 is 279637314.

It is not an unprimeable number, because it can be changed into a prime (413736977) 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, 65103 + ... + 71174.

It is an arithmetic number, because the mean of its divisors is an integer number (22894704).

Almost surely, 2413736972 is an apocalyptic number.

It is an amenable number.

413736972 is an abundant number, since it is smaller than the sum of its proper divisors (685208820).

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

413736972 is a wasteful number, since it uses less digits than its factorization.

413736972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136318 (or 136316 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 413736972 is about 20340.5253619468. The cubic root of 413736972 is about 745.1461191105.

The spelling of 413736972 in words is "four hundred thirteen million, seven hundred thirty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 136277 272554 408831 545108 817662 1499047 1635324 2998094 3134371 4497141 5996188 6268742 8994282 9403113 12537484 17988564 18806226 34478081 37612452 68956162 103434243 137912324 206868486 413736972