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3977291376 = 243323400291
BaseRepresentation
bin1110110100010000…
…1010011001110000
3101021011222100002000
43231010022121300
531121141311001
61454355054000
7200363263452
oct35504123160
911234870060
103977291376
111761093973
1292bba1300
134b5000466
1429a3222d2
1518428ba86
hexed10a670

3977291376 has 80 divisors (see below), whose sum is σ = 11912689920. Its totient is φ = 1268118720.

The previous prime is 3977291371. The next prime is 3977291377. The reversal of 3977291376 is 6731927793.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977291371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190210 + ... + 210081.

It is an arithmetic number, because the mean of its divisors is an integer number (148908624).

Almost surely, 23977291376 is an apocalyptic number.

3977291376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3977291376 is an abundant number, since it is smaller than the sum of its proper divisors (7935398544).

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

3977291376 is a wasteful number, since it uses less digits than its factorization.

3977291376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400331 (or 400319 counting only the distinct ones).

The product of its digits is 3000564, while the sum is 54.

The square root of 3977291376 is about 63065.7702402817. The cubic root of 3977291376 is about 1584.3913748246.

The spelling of 3977291376 in words is "three billion, nine hundred seventy-seven million, two hundred ninety-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 400291 800582 1200873 1601164 2401746 3202328 3602619 4803492 6404656 7205238 9206693 9606984 10807857 14410476 18413386 19213968 21615714 27620079 28820952 36826772 43231428 55240158 57641904 73653544 82860237 86462856 110480316 147307088 165720474 172925712 220960632 248580711 331440948 441921264 497161422 662881896 994322844 1325763792 1988645688 3977291376