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3976725144 = 233723381569
BaseRepresentation
bin1110110100001000…
…0000001010011000
3101021010220120100110
43231002000022120
531121020201034
61454335004320
7200355414600
oct35502001230
911233816313
103976725144
111760837507
1292b9696a0
134b4b62802
1429a215c00
151841c8de9
hexed080298

3976725144 has 48 divisors (see below), whose sum is σ = 11564969400. Its totient is φ = 1136206848.

The previous prime is 3976725127. The next prime is 3976725149. The reversal of 3976725144 is 4415276793.

It is a junction number, because it is equal to n+sod(n) for n = 3976725093 and 3976725102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976725149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1689609 + ... + 1691960.

Almost surely, 23976725144 is an apocalyptic number.

It is an amenable number.

3976725144 is an abundant number, since it is smaller than the sum of its proper divisors (7588244256).

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

3976725144 is a wasteful number, since it uses less digits than its factorization.

3976725144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381592 (or 3381581 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 3976725144 is about 63061.2808623485. The cubic root of 3976725144 is about 1584.3161833112.

The spelling of 3976725144 in words is "three billion, nine hundred seventy-six million, seven hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 3381569 6763138 10144707 13526276 20289414 23670983 27052552 40578828 47341966 71012949 81157656 94683932 142025898 165696881 189367864 284051796 331393762 497090643 568103592 662787524 994181286 1325575048 1988362572 3976725144