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470138496 = 2736072017
BaseRepresentation
bin11100000001011…
…011111010000000
31012202122111202220
4130001123322000
51430323412441
6114352411040
714436053112
oct3401337200
91182574686
10470138496
11221421013
12111546a80
137652b179
14466213b2
152b41a466
hex1c05be80

470138496 has 64 divisors (see below), whose sum is σ = 1251482880. Its totient is φ = 156377088.

The previous prime is 470138447. The next prime is 470138497. The reversal of 470138496 is 694831074.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4701384962 = 442060410842284032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (470138497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232080 + ... + 234096.

It is an arithmetic number, because the mean of its divisors is an integer number (19554420).

Almost surely, 2470138496 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 470138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625741440).

470138496 is an abundant number, since it is smaller than the sum of its proper divisors (781344384).

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

470138496 is a wasteful number, since it uses less digits than its factorization.

470138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 470138496 is about 21682.6773254596. The cubic root of 470138496 is about 777.5743712869.

The spelling of 470138496 in words is "four hundred seventy million, one hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 607 1214 1821 2017 2428 3642 4034 4856 6051 7284 8068 9712 12102 14568 16136 19424 24204 29136 32272 38848 48408 58272 64544 77696 96816 116544 129088 193632 233088 258176 387264 774528 1224319 2448638 3672957 4897276 7345914 9794552 14691828 19589104 29383656 39178208 58767312 78356416 117534624 156712832 235069248 470138496