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412390224 = 24331795333
BaseRepresentation
bin11000100101001…
…001001101010000
31001201222121001000
4120211021031100
51321032441344
6104530542000
713135154601
oct3045111520
91051877030
10412390224
111a1868974
12b6137900
136758c0ac
143caabda8
152630ea69
hex18949350

412390224 has 80 divisors (see below), whose sum is σ = 1190548800. Its totient is φ = 136669824.

The previous prime is 412390189. The next prime is 412390243. The reversal of 412390224 is 422093214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74662 + ... + 79994.

It is an arithmetic number, because the mean of its divisors is an integer number (14881860).

Almost surely, 2412390224 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 412390224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595274400).

412390224 is an abundant number, since it is smaller than the sum of its proper divisors (778158576).

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

412390224 is a wasteful number, since it uses less digits than its factorization.

412390224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 412390224 is about 20307.3933334636. The cubic root of 412390224 is about 744.3367362270.

The spelling of 412390224 in words is "four hundred twelve million, three hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 179 216 358 432 537 716 1074 1432 1611 2148 2864 3222 4296 4833 5333 6444 8592 9666 10666 12888 15999 19332 21332 25776 31998 38664 42664 47997 63996 77328 85328 95994 127992 143991 191988 255984 287982 383976 575964 767952 954607 1151928 1909214 2303856 2863821 3818428 5727642 7636856 8591463 11455284 15273712 17182926 22910568 25774389 34365852 45821136 51548778 68731704 103097556 137463408 206195112 412390224