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425000961 = 327211791109
BaseRepresentation
bin11001010101010…
…000000000000001
31002121201021201100
4121111100000001
51332300012321
6110101125013
713350306600
oct3125200001
91077637640
10425000961
111a89a1570
12ba3b9769
136a086078
1440631a37
15274a1326
hex19550001

425000961 has 72 divisors (see below), whose sum is σ = 789609600. Its totient is φ = 217788480.

The previous prime is 425000921. The next prime is 425001001. The reversal of 425000961 is 169000524.

It is an interprime number because it is at equal distance from previous prime (425000921) and next prime (425001001).

It is not a de Polignac number, because 425000961 - 210 = 424999937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (425000921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382675 + ... + 383783.

It is an arithmetic number, because the mean of its divisors is an integer number (10966800).

It is a Proth number, since it is equal to 6485 ⋅ 216 + 1 and 6485 < 216.

Almost surely, 2425000961 is an apocalyptic number.

It is an amenable number.

425000961 is a deficient number, since it is larger than the sum of its proper divisors (364608639).

425000961 is a wasteful number, since it uses less digits than its factorization.

425000961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 425000961 is about 20615.5514357487. The cubic root of 425000961 is about 751.8478647885.

It can be divided in two parts, 4250009 and 61, that added together give a triangular number (4250070 = T2915).

The spelling of 425000961 in words is "four hundred twenty-five million, nine hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 7 9 11 21 33 49 63 77 79 99 147 231 237 441 539 553 693 711 869 1109 1617 1659 2607 3327 3871 4851 4977 6083 7763 7821 9981 11613 12199 18249 23289 34839 36597 42581 54341 54747 69867 85393 87611 109791 127743 163023 256179 262833 383229 489069 597751 613277 768537 788499 963721 1793253 1839831 2891163 4292939 5379759 5519493 6746047 8673489 12878817 20238141 38636451 47222329 60714423 141666987 425000961