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470013408 = 2533543997
BaseRepresentation
bin11100000000111…
…101010111100000
31012202102011012000
4130000331113200
51430310412113
6114350004000
714435022324
oct3400752740
91182364160
10470013408
11221346037
121114a6600
13764b6257
14465cb984
152b3e3373
hex1c03d5e0

470013408 has 48 divisors (see below), whose sum is σ = 1370874960. Its totient is φ = 156670848.

The previous prime is 470013407. The next prime is 470013419. The reversal of 470013408 is 804310074.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470013407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271135 + ... + 272862.

It is an arithmetic number, because the mean of its divisors is an integer number (28559895).

Almost surely, 2470013408 is an apocalyptic number.

470013408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

470013408 is an abundant number, since it is smaller than the sum of its proper divisors (900861552).

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

470013408 is a wasteful number, since it uses less digits than its factorization.

470013408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544016 (or 544002 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 470013408 is about 21679.7926189343. The cubic root of 470013408 is about 777.5054030635.

The spelling of 470013408 in words is "four hundred seventy million, thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 543997 1087994 1631991 2175988 3263982 4351976 4895973 6527964 8703952 9791946 13055928 14687919 17407904 19583892 26111856 29375838 39167784 52223712 58751676 78335568 117503352 156671136 235006704 470013408