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42426504 = 2334233281
BaseRepresentation
bin1010000111011…
…0000010001000
32221211111020000
42201312002020
541330122004
64113203000
71023422301
oct241660210
987744200
1042426504
1121a4872a
1212260460
138a36153
1458c57a8
153ad0c39
hex2876088

42426504 has 80 divisors (see below), whose sum is σ = 119768220. Its totient is φ = 14031360.

The previous prime is 42426497. The next prime is 42426521. The reversal of 42426504 is 40562424.

42426504 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 650 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42224004 + 202500 = 6498^2 + 450^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150844 + ... + 151124.

Almost surely, 242426504 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 42426504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59884110).

42426504 is an abundant number, since it is smaller than the sum of its proper divisors (77341716).

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

42426504 is a wasteful number, since it uses less digits than its factorization.

42426504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42426504 is about 6513.5630802196. The cubic root of 42426504 is about 348.7753224763.

Adding to 42426504 its reverse (40562424), we get a palindrome (82988928).

The spelling of 42426504 in words is "forty-two million, four hundred twenty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 233 281 324 466 562 648 699 843 932 1124 1398 1686 1864 2097 2248 2529 2796 3372 4194 5058 5592 6291 6744 7587 8388 10116 12582 15174 16776 18873 20232 22761 25164 30348 37746 45522 50328 60696 65473 75492 91044 130946 150984 182088 196419 261892 392838 523784 589257 785676 1178514 1571352 1767771 2357028 3535542 4714056 5303313 7071084 10606626 14142168 21213252 42426504