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4006754472 = 2337131182059
BaseRepresentation
bin1110111011010010…
…0011100010101000
3101100020102012211210
43232310203202220
531201212120342
61501330353120
7201201564630
oct35664434250
911306365753
104006754472
111776787a36
12939a2b7a0
134bb147c46
142a01d16c0
15186b5b79c
hexeed238a8

4006754472 has 64 divisors (see below), whose sum is σ = 11535321600. Its totient is φ = 1136041920.

The previous prime is 4006754461. The next prime is 4006754483. The reversal of 4006754472 is 2744576004.

4006754472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4006754461) and next prime (4006754483).

It is a self number, because there is not a number n which added to its sum of digits gives 4006754472.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69022 + ... + 113037.

It is an arithmetic number, because the mean of its divisors is an integer number (180239400).

Almost surely, 24006754472 is an apocalyptic number.

4006754472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4006754472 is an abundant number, since it is smaller than the sum of its proper divisors (7528567128).

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

4006754472 is a wasteful number, since it uses less digits than its factorization.

4006754472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182206 (or 182202 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 4006754472 is about 63298.9294696206. The cubic root of 4006754472 is about 1588.2940541733.

The spelling of 4006754472 in words is "four billion, six million, seven hundred fifty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1834 2751 3144 3668 5502 7336 11004 22008 182059 364118 546177 728236 1092354 1274413 1456472 2184708 2548826 3823239 4369416 5097652 7646478 10195304 15292956 23849729 30585912 47699458 71549187 95398916 143098374 166948103 190797832 286196748 333896206 500844309 572393496 667792412 1001688618 1335584824 2003377236 4006754472