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480172896 = 25327238181
BaseRepresentation
bin11100100111101…
…101101101100000
31020110112022101100
4130213231231200
51440411013041
6115351434400
714620254660
oct3447555540
91213468340
10480172896
11227055005
12114985a00
1378632598
1447ab41a0
152c24d6b6
hex1c9edb60

480172896 has 72 divisors (see below), whose sum is σ = 1560568464. Its totient is φ = 137191680.

The previous prime is 480172843. The next prime is 480172933. The reversal of 480172896 is 698271084.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117075 + ... + 121106.

It is an arithmetic number, because the mean of its divisors is an integer number (21674562).

Almost surely, 2480172896 is an apocalyptic number.

It is an amenable number.

480172896 is an abundant number, since it is smaller than the sum of its proper divisors (1080395568).

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

480172896 is a wasteful number, since it uses less digits than its factorization.

480172896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238204 (or 238193 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 480172896 is about 21912.8477382562. The cubic root of 480172896 is about 783.0675259703.

The spelling of 480172896 in words is "four hundred eighty million, one hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 238181 476362 714543 952724 1429086 1667267 1905448 2143629 2858172 3334534 3810896 4287258 5001801 5716344 6669068 7621792 8574516 10003602 11432688 13338136 15005403 17149032 20007204 22865376 26676272 30010806 34298064 40014408 53352544 60021612 68596128 80028816 120043224 160057632 240086448 480172896