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3972440556 = 2237764871
BaseRepresentation
bin1110110011000110…
…1010000111101100
3101020211211220000000
43230301222013230
531113421044211
61454103104300
7200304121230
oct35461520754
911224756000
103972440556
111759380427
1292a442090
134b3cc2556
1429981c5c0
15183b2e656
hexecc6a1ec

3972440556 has 96 divisors (see below), whose sum is σ = 11915688960. Its totient is φ = 1134965520.

The previous prime is 3972440543. The next prime is 3972440569. The reversal of 3972440556 is 6550442793.

3972440556 is a `hidden beast` number, since 3 + 97 + 2 + 4 + 4 + 0 + 556 = 666.

It is an interprime number because it is at equal distance from previous prime (3972440543) and next prime (3972440569).

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 31 ways as a sum of consecutive naturals, for example, 28801 + ... + 93671.

It is an arithmetic number, because the mean of its divisors is an integer number (124121760).

Almost surely, 23972440556 is an apocalyptic number.

3972440556 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 3972440556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957844480).

3972440556 is an abundant number, since it is smaller than the sum of its proper divisors (7943248404).

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

3972440556 is an equidigital number, since it uses as much as digits as its factorization.

3972440556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64903 (or 64883 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 3972440556 is about 63027.3000849632. The cubic root of 3972440556 is about 1583.7469895478.

The spelling of 3972440556 in words is "three billion, nine hundred seventy-two million, four hundred forty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2187 2268 2916 3402 4374 5103 6804 8748 10206 15309 20412 30618 61236 64871 129742 194613 259484 389226 454097 583839 778452 908194 1167678 1362291 1751517 1816388 2335356 2724582 3503034 4086873 5254551 5449164 7006068 8173746 10509102 12260619 15763653 16347492 21018204 24521238 31527306 36781857 47290959 49042476 63054612 73563714 94581918 110345571 141872877 147127428 189163836 220691142 283745754 331036713 441382284 567491508 662073426 993110139 1324146852 1986220278 3972440556