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3998447376 = 2437111636637
BaseRepresentation
bin1110111001010011…
…0111011100010000
3101022122210011122120
43232110313130100
531142100304001
61500432334240
7201041145660
oct35624673420
911278704576
103998447376
111772023770
129370a4380
134b94c9ac1
1429d06c1a0
1518606a236
hexee537710

3998447376 has 160 divisors (see below), whose sum is σ = 12959075328. Its totient is φ = 1032030720.

The previous prime is 3998447357. The next prime is 3998447393. The reversal of 3998447376 is 6737448993.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599130 + ... + 605766.

Almost surely, 23998447376 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 3998447376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479537664).

3998447376 is an abundant number, since it is smaller than the sum of its proper divisors (8960627952).

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

3998447376 is a wasteful number, since it uses less digits than its factorization.

3998447376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829 (or 6823 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 60.

The square root of 3998447376 is about 63233.2774415497. The cubic root of 3998447376 is about 1587.1956389742.

The spelling of 3998447376 in words is "three billion, nine hundred ninety-eight million, four hundred forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 163 168 176 231 264 308 326 336 462 489 528 616 652 924 978 1141 1232 1304 1793 1848 1956 2282 2608 3423 3586 3696 3912 4564 5379 6637 6846 7172 7824 9128 10758 12551 13274 13692 14344 18256 19911 21516 25102 26548 27384 28688 37653 39822 43032 46459 50204 53096 54768 73007 75306 79644 86064 92918 100408 106192 139377 146014 150612 159288 185836 200816 219021 278754 292028 301224 318576 371672 438042 511049 557508 584056 602448 743344 876084 1022098 1081831 1115016 1168112 1533147 1752168 2044196 2163662 2230032 3066294 3245493 3504336 4088392 4327324 6132588 6490986 7572817 8176784 8654648 11900141 12265176 12981972 15145634 17309296 22718451 23800282 24530352 25963944 30291268 35700423 45436902 47600564 51927888 60582536 71400846 83300987 90873804 95201128 121165072 142801692 166601974 181747608 190402256 249902961 285603384 333203948 363495216 499805922 571206768 666407896 999611844 1332815792 1999223688 3998447376