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425046456 = 23323126143
BaseRepresentation
bin11001010101011…
…011000110111000
31002121210121010100
4121111123012320
51332302441311
6110102115400
713350556332
oct3125330670
91077717110
10425046456
111a8a2276a
12ba41bb60
136a0a09a3
1440644452
15274aea56
hex1955b1b8

425046456 has 72 divisors (see below), whose sum is σ = 1189693440. Its totient is φ = 137089440.

The previous prime is 425046451. The next prime is 425046493. The reversal of 425046456 is 654640524.

425046456 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 4 + 645 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 425046456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425046451) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66121 + ... + 72263.

It is an arithmetic number, because the mean of its divisors is an integer number (16523520).

Almost surely, 2425046456 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 425046456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594846720).

425046456 is an abundant number, since it is smaller than the sum of its proper divisors (764646984).

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

425046456 is a wasteful number, since it uses less digits than its factorization.

425046456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 425046456 is about 20616.6548207996. The cubic root of 425046456 is about 751.8746914715.

The spelling of 425046456 in words is "four hundred twenty-five million, forty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 5766 6143 7688 8649 11532 12286 17298 18429 23064 24572 34596 36858 49144 55287 69192 73716 110574 147432 190433 221148 380866 442296 571299 761732 1142598 1523464 1713897 2285196 3427794 4570392 5903423 6855588 11806846 13711176 17710269 23613692 35420538 47227384 53130807 70841076 106261614 141682152 212523228 425046456