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426240072 = 233219595281
BaseRepresentation
bin11001011001111…
…110100001001000
31002201001020110100
4121121332201020
51333104140242
6110143445400
713363660266
oct3131764110
91081036410
10426240072
111a9668525
12ba8b6860
136a3cb07b
1440875436
152764854c
hex1967e848

426240072 has 96 divisors (see below), whose sum is σ = 1235988000. Its totient is φ = 132295680.

The previous prime is 426240047. The next prime is 426240079. The reversal of 426240072 is 270042624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (426240079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78072 + ... + 83352.

It is an arithmetic number, because the mean of its divisors is an integer number (12874875).

Almost surely, 2426240072 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 426240072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617994000).

426240072 is an abundant number, since it is smaller than the sum of its proper divisors (809747928).

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

426240072 is a wasteful number, since it uses less digits than its factorization.

426240072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5371 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 426240072 is about 20645.5823846168. The cubic root of 426240072 is about 752.5778388445.

Adding to 426240072 its reverse (270042624), we get a palindrome (696282696).

The spelling of 426240072 in words is "four hundred twenty-six million, two hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 59 72 76 114 118 152 171 177 228 236 342 354 456 472 531 684 708 1062 1121 1368 1416 2124 2242 3363 4248 4484 5281 6726 8968 10089 10562 13452 15843 20178 21124 26904 31686 40356 42248 47529 63372 80712 95058 100339 126744 190116 200678 301017 311579 380232 401356 602034 623158 802712 903051 934737 1204068 1246316 1806102 1869474 2408136 2492632 2804211 3612204 3738948 5608422 5920001 7224408 7477896 11216844 11840002 17760003 22433688 23680004 35520006 47360008 53280009 71040012 106560018 142080024 213120036 426240072