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426013616 = 24741113821
BaseRepresentation
bin11001011001000…
…111001110110000
31002200121201211002
4121121013032300
51333024413431
6110134541132
713362025130
oct3131071660
91080551732
10426013616
111a9523376
12ba8077a8
136a34bc82
1440816ac0
15276013cb
hex196473b0

426013616 has 80 divisors (see below), whose sum is σ = 976062528. Its totient is φ = 176332800.

The previous prime is 426013589. The next prime is 426013631. The reversal of 426013616 is 616310624.

It is a happy 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, 518486 + ... + 519306.

Almost surely, 2426013616 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 426013616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488031264).

426013616 is an abundant number, since it is smaller than the sum of its proper divisors (550048912).

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

426013616 is a wasteful number, since it uses less digits than its factorization.

426013616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 426013616 is about 20640.0972865924. The cubic root of 426013616 is about 752.4445368481. Note that the first 3 decimals are identical.

The spelling of 426013616 in words is "four hundred twenty-six million, thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 113 164 226 287 328 452 574 656 791 821 904 1148 1582 1642 1808 2296 3164 3284 4592 4633 5747 6328 6568 9266 11494 12656 13136 18532 22988 32431 33661 37064 45976 64862 67322 74128 91952 92773 129724 134644 185546 235627 259448 269288 371092 471254 518896 538576 649411 742184 942508 1298822 1484368 1885016 2597644 3770032 3803693 5195288 7607386 10390576 15214772 26625851 30429544 53251702 60859088 106503404 213006808 426013616