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425625312 = 25371016271
BaseRepresentation
bin11001010111101…
…000011011100000
31002122220000011110
4121113220123200
51332430002222
6110122343320
713355520060
oct3127503340
91078800143
10425625312
111a9288662
12ba65ab40
136a2442c8
14407553a0
152757630c
hex195e86e0

425625312 has 96 divisors (see below), whose sum is σ = 1289723904. Its totient is φ = 120384000.

The previous prime is 425625307. The next prime is 425625313. The reversal of 425625312 is 213526524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 425625312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425625313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64737 + ... + 71007.

It is an arithmetic number, because the mean of its divisors is an integer number (13434624).

Almost surely, 2425625312 is an apocalyptic number.

425625312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425625312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644861952).

425625312 is an abundant number, since it is smaller than the sum of its proper divisors (864098592).

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

425625312 is a wasteful number, since it uses less digits than its factorization.

425625312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6384 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 425625312 is about 20630.6885973299. The cubic root of 425625312 is about 752.2158539853.

It can be divided in two parts, 42562 and 5312, that added together give a palindrome (47874).

The spelling of 425625312 in words is "four hundred twenty-five million, six hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 6271 8484 9696 11312 12542 16968 18813 22624 25084 33936 37626 43897 50168 67872 75252 87794 100336 131691 150504 175588 200672 263382 301008 351176 526764 602016 633371 702352 1053528 1266742 1404704 1900113 2107056 2533484 3800226 4214112 4433597 5066968 7600452 8867194 10133936 13300791 15200904 17734388 20267872 26601582 30401808 35468776 53203164 60803616 70937552 106406328 141875104 212812656 425625312