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3849060576 = 253178832671
BaseRepresentation
bin1110010101101100…
…0000000011100000
3100221020200112111010
43211123000003200
530340324414301
61433534420520
7164245321644
oct34533000340
910836615433
103849060576
1116a57701a9
128b5061740
1349458404a
142872a2c24
15177dac5d6
hexe56c00e0

3849060576 has 96 divisors (see below), whose sum is σ = 10714249728. Its totient is φ = 1205729280.

The previous prime is 3849060569. The next prime is 3849060619. The reversal of 3849060576 is 6750609483.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1439721 + ... + 1442391.

It is an arithmetic number, because the mean of its divisors is an integer number (111606768).

Almost surely, 23849060576 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 3849060576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357124864).

3849060576 is an abundant number, since it is smaller than the sum of its proper divisors (6865189152).

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

3849060576 is a wasteful number, since it uses less digits than its factorization.

3849060576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3849060576 is about 62040.7976737888. The cubic root of 3849060576 is about 1567.1777194572.

The spelling of 3849060576 in words is "three billion, eight hundred forty-nine million, sixty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 883 1632 1766 2649 2671 3532 5298 5342 7064 8013 10596 10684 14128 15011 16026 21192 21368 28256 30022 32052 42384 42736 45033 45407 60044 64104 84768 85472 90066 90814 120088 128208 136221 180132 181628 240176 256416 272442 360264 363256 480352 544884 720528 726512 1089768 1441056 1453024 2179536 2358493 4359072 4716986 7075479 9433972 14150958 18867944 28301916 37735888 40094381 56603832 75471776 80188762 113207664 120283143 160377524 226415328 240566286 320755048 481132572 641510096 962265144 1283020192 1924530288 3849060576