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426267252 = 223347791063
BaseRepresentation
bin11001011010000…
…101001001110100
31002201002121202000
4121122011021310
51333111023002
6110144215300
713364132445
oct3132051164
91081077660
10426267252
111a9686994
12ba90a530
136a40a558
14408812cc
152765161c
hex19685274

426267252 has 96 divisors (see below), whose sum is σ = 1144012800. Its totient is φ = 137176416.

The previous prime is 426267239. The next prime is 426267253. The reversal of 426267252 is 252762624.

426267252 is a `hidden beast` number, since 4 + 2 + 626 + 7 + 25 + 2 = 666.

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 (426267253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400473 + ... + 401535.

It is an arithmetic number, because the mean of its divisors is an integer number (11916800).

Almost surely, 2426267252 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 426267252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572006400).

426267252 is an abundant number, since it is smaller than the sum of its proper divisors (717745548).

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

426267252 is a wasteful number, since it uses less digits than its factorization.

426267252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1194 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 426267252 is about 20646.2406263223. The cubic root of 426267252 is about 752.5938350184.

The spelling of 426267252 in words is "four hundred twenty-six million, two hundred sixty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 79 94 108 141 158 188 237 282 316 423 474 564 711 846 948 1063 1269 1422 1692 2126 2133 2538 2844 3189 3713 4252 4266 5076 6378 7426 8532 9567 11139 12756 14852 19134 22278 28701 33417 38268 44556 49961 57402 66834 83977 99922 100251 114804 133668 149883 167954 199844 200502 251931 299766 335908 401004 449649 503862 599532 755793 899298 1007724 1348947 1511586 1798596 2267379 2697894 3023172 3946919 4534758 5395788 7893838 9069516 11840757 15787676 23681514 35522271 47363028 71044542 106566813 142089084 213133626 426267252