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470040816 = 24372948239
BaseRepresentation
bin11100000001000…
…100000011110000
31012202110112210010
4130001010003300
51430312301231
6114350334520
714435165250
oct3401040360
91182415703
10470040816
11221364693
121114ba440
13764c587b
14465d7960
152b3eb546
hex1c0440f0

470040816 has 80 divisors (see below), whose sum is σ = 1435622400. Its totient is φ = 129663744.

The previous prime is 470040763. The next prime is 470040839. The reversal of 470040816 is 618040074.

It is a super-3 number, since 3×4700408163 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14376 + ... + 33863.

It is an arithmetic number, because the mean of its divisors is an integer number (17945280).

Almost surely, 2470040816 is an apocalyptic number.

It is an amenable number.

470040816 is an abundant number, since it is smaller than the sum of its proper divisors (965581584).

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

470040816 is a wasteful number, since it uses less digits than its factorization.

470040816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48286 (or 48280 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 470040816 is about 21680.4247190870. The cubic root of 470040816 is about 777.5205157202.

The spelling of 470040816 in words is "four hundred seventy million, forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 48239 96478 144717 192956 289434 337673 385912 578868 675346 771824 1013019 1157736 1350692 1398931 2026038 2315472 2701384 2797862 4052076 4196793 5402768 5595724 8104152 8393586 9792517 11191448 16208304 16787172 19585034 22382896 29377551 33574344 39170068 58755102 67148688 78340136 117510204 156680272 235020408 470040816