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426415572 = 2232112694003
BaseRepresentation
bin11001011010101…
…001010111010100
31002201101011012100
4121122221113110
51333130244242
6110151322100
713365321042
oct3132512724
91081334170
10426415572
111a9778370
12ba980330
136a45cc0b
14408bd392
152768054c
hex196a95d4

426415572 has 72 divisors (see below), whose sum is σ = 1180539360. Its totient is φ = 128704320.

The previous prime is 426415543. The next prime is 426415579. The reversal of 426415572 is 275514624.

It is a happy number.

426415572 is a `hidden beast` number, since 4 + 2 + 641 + 5 + 5 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426415579) 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, 104523 + ... + 108525.

It is an arithmetic number, because the mean of its divisors is an integer number (16396380).

Almost surely, 2426415572 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 426415572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590269680).

426415572 is an abundant number, since it is smaller than the sum of its proper divisors (754123788).

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

426415572 is a wasteful number, since it uses less digits than its factorization.

426415572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4288 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 426415572 is about 20649.8322511346. The cubic root of 426415572 is about 752.6811134202.

The spelling of 426415572 in words is "four hundred twenty-six million, four hundred fifteen thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 269 396 538 807 1076 1614 2421 2959 3228 4003 4842 5918 8006 8877 9684 11836 12009 16012 17754 24018 26631 35508 36027 44033 48036 53262 72054 88066 106524 132099 144108 176132 264198 396297 528396 792594 1076807 1585188 2153614 3230421 4307228 6460842 9691263 11844877 12921684 19382526 23689754 35534631 38765052 47379508 71069262 106603893 142138524 213207786 426415572