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470402496 = 26325471493
BaseRepresentation
bin11100000010011…
…100010111000000
31012210010220220200
4130002130113000
51430410334441
6114402205200
714441232564
oct3402342700
91183126820
10470402496
112215913a3
12111653800
13765c1395
144668d6a4
152b46d7b6
hex1c09c5c0

470402496 has 84 divisors (see below), whose sum is σ = 1351693512. Its totient is φ = 156409344.

The previous prime is 470402489. The next prime is 470402503. The reversal of 470402496 is 694204074.

It is an interprime number because it is at equal distance from previous prime (470402489) and next prime (470402503).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 470402496.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 314326 + ... + 315818.

Almost surely, 2470402496 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 470402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675846756).

470402496 is an abundant number, since it is smaller than the sum of its proper divisors (881291016).

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

470402496 is a wasteful number, since it uses less digits than its factorization.

470402496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 470402496 is about 21688.7642801521. The cubic root of 470402496 is about 777.7198895571.

The spelling of 470402496 in words is "four hundred seventy million, four hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 547 576 1094 1493 1641 2188 2986 3282 4376 4479 4923 5972 6564 8752 8958 9846 11944 13128 13437 17504 17916 19692 23888 26256 26874 35008 35832 39384 47776 52512 53748 71664 78768 95552 105024 107496 143328 157536 214992 286656 315072 429984 816671 859968 1633342 2450013 3266684 4900026 6533368 7350039 9800052 13066736 14700078 19600104 26133472 29400156 39200208 52266944 58800312 78400416 117600624 156800832 235201248 470402496