Search a number
-
+
3916087896 = 2337313891933
BaseRepresentation
bin1110100101101010…
…1100001001011000
3101002220210212200110
43221122230021120
531010004303041
61444331204320
7166021124610
oct35132541130
911086725613
103916087896
11172a590886
129135a66a0
134a5421796
1429214da40
1517dbec516
hexe96ac258

3916087896 has 128 divisors (see below), whose sum is σ = 11585433600. Its totient is φ = 1079447040.

The previous prime is 3916087859. The next prime is 3916087897. The reversal of 3916087896 is 6987806193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3916087897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2024946 + ... + 2026878.

It is an arithmetic number, because the mean of its divisors is an integer number (90511200).

Almost surely, 23916087896 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 3916087896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5792716800).

3916087896 is an abundant number, since it is smaller than the sum of its proper divisors (7669345704).

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

3916087896 is a wasteful number, since it uses less digits than its factorization.

3916087896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 3916087896 is about 62578.6536767930. The cubic root of 3916087896 is about 1576.2223343640. Note that the first 3 decimals are identical.

The spelling of 3916087896 in words is "three billion, nine hundred sixteen million, eighty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 389 434 651 744 778 868 1167 1302 1556 1736 1933 2334 2604 2723 3112 3866 4668 5208 5446 5799 7732 8169 9336 10892 11598 12059 13531 15464 16338 21784 23196 24118 27062 32676 36177 40593 46392 48236 54124 59923 65352 72354 81186 84413 96472 108248 119846 144708 162372 168826 179769 239692 253239 289416 324744 337652 359538 419461 479384 506478 675304 719076 751937 838922 1012956 1258383 1438152 1503874 1677844 2025912 2255811 2516766 3007748 3355688 4511622 5033532 5263559 6015496 9023244 10067064 10527118 15790677 18046488 21054236 23310047 31581354 42108472 46620094 63162708 69930141 93240188 126325416 139860282 163170329 186480376 279720564 326340658 489510987 559441128 652681316 979021974 1305362632 1958043948 3916087896