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470694048 = 253112691657
BaseRepresentation
bin11100000011100…
…011100010100000
31012210200201211220
4130003203202200
51430444202143
6114412335040
714443555566
oct3403434240
91183621756
10470694048
11221770450
12111774480
1376693cb6
1446727a36
152b4c9d83
hex1c0e38a0

470694048 has 96 divisors (see below), whose sum is σ = 1353723840. Its totient is φ = 142018560.

The previous prime is 470694043. The next prime is 470694053. The reversal of 470694048 is 840496074.

It is an interprime number because it is at equal distance from previous prime (470694043) and next prime (470694053).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (470694043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283236 + ... + 284892.

It is an arithmetic number, because the mean of its divisors is an integer number (14101290).

Almost surely, 2470694048 is an apocalyptic number.

470694048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470694048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676861920).

470694048 is an abundant number, since it is smaller than the sum of its proper divisors (883029792).

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

470694048 is a wasteful number, since it uses less digits than its factorization.

470694048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 470694048 is about 21695.4845071503. The cubic root of 470694048 is about 777.8805313919.

The spelling of 470694048 in words is "four hundred seventy million, six hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 269 352 528 538 807 1056 1076 1614 1657 2152 2959 3228 3314 4304 4971 5918 6456 6628 8608 8877 9942 11836 12912 13256 17754 18227 19884 23672 25824 26512 35508 36454 39768 47344 53024 54681 71016 72908 79536 94688 109362 142032 145816 159072 218724 284064 291632 437448 445733 583264 874896 891466 1337199 1749792 1782932 2674398 3565864 4903063 5348796 7131728 9806126 10697592 14263456 14709189 19612252 21395184 29418378 39224504 42790368 58836756 78449008 117673512 156898016 235347024 470694048