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413606712 = 23331279227
BaseRepresentation
bin11000101001110…
…010001100111000
31001211021101202010
4120221302030320
51321340403322
6105013005520
713151412321
oct3051621470
91054241663
10413606712
111a2519932
12b66238a0
13678c69cc
143cd07448
15264a020c
hex18a72338

413606712 has 96 divisors (see below), whose sum is σ = 1086739200. Its totient is φ = 131152320.

The previous prime is 413606653. The next prime is 413606749. The reversal of 413606712 is 217606314.

It is a super-2 number, since 2×4136067122 = 342141024422901888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413606712.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1821943 + ... + 1822169.

It is an arithmetic number, because the mean of its divisors is an integer number (11320200).

Almost surely, 2413606712 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 413606712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543369600).

413606712 is an abundant number, since it is smaller than the sum of its proper divisors (673132488).

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

413606712 is a wasteful number, since it uses less digits than its factorization.

413606712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 413606712 is about 20337.3231276882. The cubic root of 413606712 is about 745.0679108702.

The spelling of 413606712 in words is "four hundred thirteen million, six hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 79 93 124 158 186 227 237 248 316 372 454 474 632 681 744 908 948 961 1362 1816 1896 1922 2449 2724 2883 3844 4898 5448 5766 7037 7347 7688 9796 11532 14074 14694 17933 19592 21111 23064 28148 29388 35866 42222 53799 56296 58776 71732 75919 84444 107598 143464 151838 168888 215196 218147 227757 303676 430392 436294 455514 555923 607352 654441 872588 911028 1111846 1308882 1667769 1745176 1822056 2223692 2617764 3335538 4447384 5235528 6671076 13342152 17233613 34467226 51700839 68934452 103401678 137868904 206803356 413606712