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427298916 = 22311331863
BaseRepresentation
bin11001011110000…
…001000001100100
31002210001000220210
4121132001001210
51333342031131
6110222255420
713405660302
oct3136010144
91083030823
10427298916
111aa221000
12bb127570
136a6abcc5
1440a6d272
15277a7146
hex19781064

427298916 has 96 divisors (see below), whose sum is σ = 1133346816. Its totient is φ = 125162400.

The previous prime is 427298909. The next prime is 427298939. The reversal of 427298916 is 619892724.

It is a super-2 number, since 2×4272989162 = 365168727229550112, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 494701 + ... + 495563.

It is an arithmetic number, because the mean of its divisors is an integer number (11805696).

Almost surely, 2427298916 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 427298916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566673408).

427298916 is an abundant number, since it is smaller than the sum of its proper divisors (706047900).

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

427298916 is a wasteful number, since it uses less digits than its factorization.

427298916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 910 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 427298916 is about 20671.2098339696. The cubic root of 427298916 is about 753.2004954558.

The spelling of 427298916 in words is "four hundred twenty-seven million, two hundred ninety-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 863 1023 1331 1364 1452 1726 2046 2589 2662 3452 3751 3993 4092 5178 5324 7502 7986 9493 10356 11253 15004 15972 18986 22506 26753 28479 37972 41261 45012 53506 56958 80259 82522 104423 107012 113916 123783 160518 165044 208846 247566 294283 313269 321036 417692 495132 588566 626538 882849 1148653 1177132 1253076 1765698 2297306 3237113 3445959 3531396 4594612 6474226 6891918 9711339 12948452 13783836 19422678 35608243 38845356 71216486 106824729 142432972 213649458 427298916