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425162628 = 2233111672143
BaseRepresentation
bin11001010101110…
…111011110000100
31002122000111111000
4121111313132010
51332320201003
6110104413300
713351552122
oct3125673604
91078014430
10425162628
111a8aa1a80
12ba477230
136a111827
1440674912
15274d41a3
hex19577784

425162628 has 96 divisors (see below), whose sum is σ = 1210245120. Its totient is φ = 128005920.

The previous prime is 425162609. The next prime is 425162641. The reversal of 425162628 is 826261524.

It is a happy number.

425162628 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 626 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 425162592 and 425162601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197325 + ... + 199467.

It is an arithmetic number, because the mean of its divisors is an integer number (12606720).

Almost surely, 2425162628 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 425162628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605122560).

425162628 is an abundant number, since it is smaller than the sum of its proper divisors (785082492).

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

425162628 is a wasteful number, since it uses less digits than its factorization.

425162628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2326 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 425162628 is about 20619.4720591969. The cubic root of 425162628 is about 751.9431850278.

The spelling of 425162628 in words is "four hundred twenty-five million, one hundred sixty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 167 198 297 334 396 501 594 668 1002 1188 1503 1837 2004 2143 3006 3674 4286 4509 5511 6012 6429 7348 8572 9018 11022 12858 16533 18036 19287 22044 23573 25716 33066 38574 47146 49599 57861 66132 70719 77148 94292 99198 115722 141438 198396 212157 231444 282876 357881 424314 636471 715762 848628 1073643 1272942 1431524 2147286 2545884 3220929 3936691 4294572 6441858 7873382 9662787 11810073 12883716 15746764 19325574 23620146 35430219 38651148 47240292 70860438 106290657 141720876 212581314 425162628