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30909456 = 2432474567
BaseRepresentation
bin111010111101…
…0010000010000
32011011100210200
41311322100100
530403100311
63022255200
7523504014
oct165722020
964140720
1030909456
11164a1806
12a427500
136532c26
144168544
152aa8556
hex1d7a410

30909456 has 60 divisors (see below), whose sum is σ = 88363392. Its totient is φ = 10081728.

The previous prime is 30909421. The next prime is 30909469. The reversal of 30909456 is 65490903.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 30909456.

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, 4485 + ... + 9051.

Almost surely, 230909456 is an apocalyptic number.

30909456 is a gapful number since it is divisible by the number (36) 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 30909456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44181696).

30909456 is an abundant number, since it is smaller than the sum of its proper divisors (57453936).

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

30909456 is a wasteful number, since it uses less digits than its factorization.

30909456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 30909456 is about 5559.6273256397. The cubic root of 30909456 is about 313.8319248717.

The spelling of 30909456 in words is "thirty million, nine hundred nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 4567 6768 9134 13701 18268 27402 36536 41103 54804 73072 82206 109608 164412 214649 219216 328824 429298 643947 657648 858596 1287894 1717192 1931841 2575788 3434384 3863682 5151576 7727364 10303152 15454728 30909456