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672112476 = 22327171511039
BaseRepresentation
bin101000000011111…
…001111101011100
31201211200211222200
4220003321331130
52334030044401
6150405411500
722440601410
oct5003717534
91654624880
10672112476
11315432062
12169109b90
13a9326ab9
1465398d40
153e014686
hex280f9f5c

672112476 has 144 divisors (see below), whose sum is σ = 2071480320. Its totient is φ = 179366400.

The previous prime is 672112433. The next prime is 672112501. The reversal of 672112476 is 674211276.

672112476 is a `hidden beast` number, since 6 + 72 + 112 + 476 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 672112476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646365 + ... + 647403.

It is an arithmetic number, because the mean of its divisors is an integer number (14385280).

Almost surely, 2672112476 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 672112476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035740160).

672112476 is an abundant number, since it is smaller than the sum of its proper divisors (1399367844).

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

672112476 is a wasteful number, since it uses less digits than its factorization.

672112476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1219 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 672112476 is about 25925.1321308108. The cubic root of 672112476 is about 875.9526933858.

The spelling of 672112476 in words is "six hundred seventy-two million, one hundred twelve thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 151 153 204 238 252 302 306 357 453 476 604 612 714 906 1039 1057 1071 1359 1428 1812 2078 2114 2142 2567 2718 3117 3171 4156 4228 4284 5134 5436 6234 6342 7273 7701 9351 9513 10268 12468 12684 14546 15402 17663 17969 18702 19026 21819 23103 29092 30804 35326 35938 37404 38052 43638 46206 52989 53907 65457 70652 71876 87276 92412 105978 107814 123641 130914 156889 158967 161721 211956 215628 247282 261828 313778 317934 323442 370923 470667 494564 627556 635868 646884 741846 941334 1098223 1112769 1412001 1483692 1882668 2196446 2225538 2667113 2824002 3294669 4392892 4451076 5334226 5648004 6589338 8001339 9884007 10668452 13178676 16002678 18669791 19768014 24004017 32005356 37339582 39536028 48008034 56009373 74679164 96016068 112018746 168028119 224037492 336056238 672112476