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427324656 = 243115031609
BaseRepresentation
bin11001011110000…
…111010011110000
31002210002100020010
4121132013103300
51333343342111
6110223014520
713406125323
oct3136072360
91083070203
10427324656
111aa239380
12bb13a440
136a6ba935
1440a787ba
15277aeaa6
hex197874f0

427324656 has 80 divisors (see below), whose sum is σ = 1207422720. Its totient is φ = 129154560.

The previous prime is 427324643. The next prime is 427324661. The reversal of 427324656 is 656423724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264780 + ... + 266388.

It is an arithmetic number, because the mean of its divisors is an integer number (15092784).

Almost surely, 2427324656 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 427324656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603711360).

427324656 is an abundant number, since it is smaller than the sum of its proper divisors (780098064).

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

427324656 is a wasteful number, since it uses less digits than its factorization.

427324656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2128 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 427324656 is about 20671.8324296614. The cubic root of 427324656 is about 753.2156191321.

The spelling of 427324656 in words is "four hundred twenty-seven million, three hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 503 528 1006 1509 1609 2012 3018 3218 4024 4827 5533 6036 6436 8048 9654 11066 12072 12872 16599 17699 19308 22132 24144 25744 33198 35398 38616 44264 53097 66396 70796 77232 88528 106194 132792 141592 212388 265584 283184 424776 809327 849552 1618654 2427981 3237308 4855962 6474616 8902597 9711924 12949232 17805194 19423848 26707791 35610388 38847696 53415582 71220776 106831164 142441552 213662328 427324656