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412061416 = 231310139229
BaseRepresentation
bin11000100011111…
…000111011101000
31001201100212222221
4120203320323220
51320441431131
6104515523424
713132315144
oct3043707350
91051325887
10412061416
111a1663928
12b5bb9574
13674a5530
143ca24224
1526297411
hex188f8ee8

412061416 has 32 divisors (see below), whose sum is σ = 840306600. Its totient is φ = 188294400.

The previous prime is 412061411. The next prime is 412061423. The reversal of 412061416 is 614160214.

It can be written as a sum of positive squares in 4 ways, for example, as 409900516 + 2160900 = 20246^2 + 1470^2 .

It is a super-2 number, since 2×4120614162 = 339589221111850112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412061411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9111 + ... + 30118.

Almost surely, 2412061416 is an apocalyptic number.

It is an amenable number.

412061416 is an abundant number, since it is smaller than the sum of its proper divisors (428245184).

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

412061416 is a wasteful number, since it uses less digits than its factorization.

412061416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39349 (or 39345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 412061416 is about 20299.2959483821. The cubic root of 412061416 is about 744.1388581537.

It can be divided in two parts, 4120 and 61416, that added together give a 16-th power (65536 = 216).

The spelling of 412061416 in words is "four hundred twelve million, sixty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 5252 10504 39229 78458 156916 313832 509977 1019954 2039908 3962129 4079816 7924258 15848516 31697032 51507677 103015354 206030708 412061416