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3823664480 = 255171405759
BaseRepresentation
bin1110001111101000…
…0111110101100000
3100212110220021120222
43203322013311200
530312324230410
61431230222212
7163516416566
oct34372076540
910773807528
103823664480
1116923a4799
128a8654968
1348c23177c
14283b71a36
15175a42955
hexe3e87d60

3823664480 has 48 divisors (see below), whose sum is σ = 9564791040. Its totient is φ = 1439496192.

The previous prime is 3823664479. The next prime is 3823664513. The reversal of 3823664480 is 844663283.

It is a super-2 number, since 2×38236644802 = 29240820111227340800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700160 + ... + 705599.

It is an arithmetic number, because the mean of its divisors is an integer number (199266480).

Almost surely, 23823664480 is an apocalyptic number.

It is an amenable number.

3823664480 is an abundant number, since it is smaller than the sum of its proper divisors (5741126560).

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

3823664480 is a wasteful number, since it uses less digits than its factorization.

3823664480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405791 (or 1405783 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The square root of 3823664480 is about 61835.7864023738. The cubic root of 3823664480 is about 1563.7233655804.

The spelling of 3823664480 in words is "three billion, eight hundred twenty-three million, six hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 1405759 2811518 5623036 7028795 11246072 14057590 22492144 23897903 28115180 44984288 47795806 56230360 95591612 112460720 119489515 191183224 224921440 238979030 382366448 477958060 764732896 955916120 1911832240 3823664480