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417996054 = 23275321181
BaseRepresentation
bin11000111010100…
…001110100010110
31002010112101210100
4120322201310112
51324001333204
6105251034530
713233623250
oct3072416426
91063471710
10417996054
111a4a47693
12b7b9ba46
13687a2858
143d72acd0
1526a6aa39
hex18ea1d16

417996054 has 72 divisors (see below), whose sum is σ = 1055828592. Its totient is φ = 117074880.

The previous prime is 417996023. The next prime is 417996083. The reversal of 417996054 is 450699714.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 353344 + ... + 354524.

It is an arithmetic number, because the mean of its divisors is an integer number (14664286).

Almost surely, 2417996054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417996054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527914296).

417996054 is an abundant number, since it is smaller than the sum of its proper divisors (637832538).

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

417996054 is a wasteful number, since it uses less digits than its factorization.

417996054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 417996054 is about 20444.9517974487. The cubic root of 417996054 is about 747.6942841633.

The spelling of 417996054 in words is "four hundred seventeen million, nine hundred ninety-six thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 1181 2226 2362 2809 3339 3543 5618 6678 7086 8267 8427 10629 16534 16854 19663 21258 24801 25281 39326 49602 50562 58989 62593 74403 117978 125186 148806 176967 187779 353934 375558 438151 563337 876302 1126674 1314453 2628906 3317429 3943359 6634858 7886718 9952287 19904574 23222003 29856861 46444006 59713722 69666009 139332018 208998027 417996054