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427885024 = 25729199331
BaseRepresentation
bin11001100000010…
…000000111100000
31002211010210220111
4121200100013200
51334014310044
6110243021104
713413651130
oct3140200740
91084123814
10427885024
111aa591396
12bb36a794
136a855a08
1440b82ac0
1527870b34
hex198101e0

427885024 has 96 divisors (see below), whose sum is σ = 1003968000. Its totient is φ = 175633920.

The previous prime is 427885021. The next prime is 427885027. The reversal of 427885024 is 420588724.

It is an interprime number because it is at equal distance from previous prime (427885021) and next prime (427885027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427885021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292539 + ... + 1292869.

It is an arithmetic number, because the mean of its divisors is an integer number (10458000).

Almost surely, 2427885024 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 427885024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501984000).

427885024 is an abundant number, since it is smaller than the sum of its proper divisors (576082976).

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

427885024 is a wasteful number, since it uses less digits than its factorization.

427885024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 427885024 is about 20685.3818915678. The cubic root of 427885024 is about 753.5447159617.

The spelling of 427885024 in words is "four hundred twenty-seven million, eight hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 199 203 224 232 331 398 406 464 662 796 812 928 1324 1393 1592 1624 2317 2648 2786 3184 3248 4634 5296 5572 5771 6368 6496 9268 9599 10592 11144 11542 18536 19198 22288 23084 37072 38396 40397 44576 46168 65869 67193 74144 76792 80794 92336 131738 134386 153584 161588 184672 263476 268772 307168 323176 461083 526952 537544 646352 922166 1053904 1075088 1292704 1844332 1910201 2107808 2150176 3688664 3820402 7377328 7640804 13371407 14754656 15281608 26742814 30563216 53485628 61126432 106971256 213942512 427885024