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412025592 = 2331112712289
BaseRepresentation
bin11000100011110…
…000001011111000
31001201022001212010
4120203300023320
51320434304332
6104515045520
713132105536
oct3043601370
91051261763
10412025592
111a1639a20
12b5ba08a0
1367492134
143ca15156
152628b9cc
hex188f02f8

412025592 has 64 divisors (see below), whose sum is σ = 1132646400. Its totient is φ = 123863040.

The previous prime is 412025587. The next prime is 412025597. The reversal of 412025592 is 295520214.

It is an interprime number because it is at equal distance from previous prime (412025587) and next prime (412025597).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412025597) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27384 + ... + 39672.

It is an arithmetic number, because the mean of its divisors is an integer number (17697600).

Almost surely, 2412025592 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 412025592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566323200).

412025592 is an abundant number, since it is smaller than the sum of its proper divisors (720620808).

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

412025592 is a wasteful number, since it uses less digits than its factorization.

412025592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12436 (or 12432 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 412025592 is about 20298.4135340671. The cubic root of 412025592 is about 744.1172927575.

The spelling of 412025592 in words is "four hundred twelve million, twenty-five thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2794 3048 4191 5588 8382 11176 12289 16764 24578 33528 36867 49156 73734 98312 135179 147468 270358 294936 405537 540716 811074 1081432 1560703 1622148 3121406 3244296 4682109 6242812 9364218 12485624 17167733 18728436 34335466 37456872 51503199 68670932 103006398 137341864 206012796 412025592