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512104416 = 25319280759
BaseRepresentation
bin11110100001100…
…001011111100000
31022200121121012020
4132201201133200
52022044320131
6122452101440
715455546535
oct3641413740
91280547166
10512104416
1124308469a
12123604880
1382132785
144c026d8c
152ee59996
hex1e8617e0

512104416 has 48 divisors (see below), whose sum is σ = 1415030400. Its totient is φ = 161716608.

The previous prime is 512104403. The next prime is 512104423. The reversal of 512104416 is 614401215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 138556 + ... + 142203.

It is an arithmetic number, because the mean of its divisors is an integer number (29479800).

Almost surely, 2512104416 is an apocalyptic number.

It is an amenable number.

512104416 is an abundant number, since it is smaller than the sum of its proper divisors (902925984).

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

512104416 is a wasteful number, since it uses less digits than its factorization.

512104416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280791 (or 280783 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 512104416 is about 22629.7241697728. The cubic root of 512104416 is about 800.0543796368.

The spelling of 512104416 in words is "five hundred twelve million, one hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 280759 561518 842277 1123036 1684554 2246072 3369108 4492144 5334421 6738216 8984288 10668842 13476432 16003263 21337684 26952864 32006526 42675368 64013052 85350736 128026104 170701472 256052208 512104416