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3825229492 = 2272197314071
BaseRepresentation
bin1110010000000000…
…0101111010110100
3100212120211210101101
43210000011322310
530313224320432
61431323535444
7163535625400
oct34400057264
910776753341
103825229492
111693273597
128a908a584
1348c65bc06
1428405c100
15175c514e7
hexe4005eb4

3825229492 has 72 divisors (see below), whose sum is σ = 8309797440. Its totient is φ = 1531716480.

The previous prime is 3825229481. The next prime is 3825229547. The reversal of 3825229492 is 2949225283.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264817 + ... + 278887.

Almost surely, 23825229492 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 3825229492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154898720).

3825229492 is an abundant number, since it is smaller than the sum of its proper divisors (4484567948).

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

3825229492 is a wasteful number, since it uses less digits than its factorization.

3825229492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14181 (or 14172 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 3825229492 is about 61848.4396892921. The cubic root of 3825229492 is about 1563.9366785805.

The spelling of 3825229492 in words is "three billion, eight hundred twenty-five million, two hundred twenty-nine thousand, four hundred ninety-two".

Divisors: 1 2 4 7 14 19 28 38 49 73 76 98 133 146 196 266 292 511 532 931 1022 1387 1862 2044 2774 3577 3724 5548 7154 9709 14071 14308 19418 28142 38836 56284 67963 98497 135926 196994 267349 271852 393988 534698 689479 1027183 1069396 1378958 1871443 2054366 2757916 3742886 4108732 7190281 7485772 13100101 14380562 19516477 26200202 28761124 39032954 50331967 52400404 78065908 100663934 136615339 201327868 273230678 546461356 956307373 1912614746 3825229492