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417013016 = 23772710243
BaseRepresentation
bin11000110110110…
…001110100011000
31002001200110022112
4120312301310120
51323223404031
6105214011452
713222360250
oct3066616430
91061613275
10417013016
111a4436062
12b77a6b88
136851a284
143d552960
152692462b
hex18db1d18

417013016 has 32 divisors (see below), whose sum is σ = 894915840. Its totient is φ = 178456608.

The previous prime is 417013001. The next prime is 417013021. The reversal of 417013016 is 610310714.

It is a junction number, because it is equal to n+sod(n) for n = 417012982 and 417013000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35591 + ... + 45833.

It is an arithmetic number, because the mean of its divisors is an integer number (27966120).

Almost surely, 2417013016 is an apocalyptic number.

It is an amenable number.

417013016 is an abundant number, since it is smaller than the sum of its proper divisors (477902824).

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

417013016 is a wasteful number, since it uses less digits than its factorization.

417013016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10983 (or 10979 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 417013016 is about 20420.8965523064. The cubic root of 417013016 is about 747.1076846503.

The spelling of 417013016 in words is "four hundred seventeen million, thirteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 727 1454 2908 5089 5816 10178 10243 20356 20486 40712 40972 71701 81944 143402 286804 573608 7446661 14893322 29786644 52126627 59573288 104253254 208506508 417013016