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426427392 = 21031271093
BaseRepresentation
bin11001011010101…
…100010000000000
31002201101202102010
4121122230100000
51333131134032
6110151452520
713365400356
oct3132542000
91081352363
10426427392
111a9786236
12ba987140
136a465401
14408c37d6
1527683ccc
hex196ac400

426427392 has 88 divisors (see below), whose sum is σ = 1146582016. Its totient is φ = 140894208.

The previous prime is 426427367. The next prime is 426427409. The reversal of 426427392 is 293724624.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 426427392.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389598 + ... + 390690.

Almost surely, 2426427392 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 426427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573291008).

426427392 is an abundant number, since it is smaller than the sum of its proper divisors (720154624).

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

426427392 is a wasteful number, since it uses less digits than its factorization.

426427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1225 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 426427392 is about 20650.1184500235. The cubic root of 426427392 is about 752.6880679884.

The spelling of 426427392 in words is "four hundred twenty-six million, four hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1093 1524 1536 2032 2186 3048 3072 3279 4064 4372 6096 6558 8128 8744 12192 13116 16256 17488 24384 26232 32512 34976 48768 52464 65024 69952 97536 104928 130048 138811 139904 195072 209856 277622 279808 390144 416433 419712 555244 559616 832866 839424 1110488 1119232 1665732 1678848 2220976 3331464 3357696 4441952 6662928 8883904 13325856 17767808 26651712 35535616 53303424 71071232 106606848 142142464 213213696 426427392