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3998250048 = 263133151673
BaseRepresentation
bin1110111001010000…
…0111010001000000
3101022122102010222010
43232110013101000
531142023000143
61500424212520
7201036364452
oct35624072100
911278363863
103998250048
1117719a9491
1293700a140
134b945b040
1429d01a2d2
1518602ba33
hexee507440

3998250048 has 112 divisors (see below), whose sum is σ = 11760175616. Its totient is φ = 1190522880.

The previous prime is 3998250023. The next prime is 3998250049. The reversal of 3998250048 is 8400528993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3998249979 and 3998250006.

It is not an unprimeable number, because it can be changed into a prime (3998250049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51540 + ... + 103212.

It is an arithmetic number, because the mean of its divisors is an integer number (105001568).

Almost surely, 23998250048 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 3998250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880087808).

3998250048 is an abundant number, since it is smaller than the sum of its proper divisors (7761925568).

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

3998250048 is a wasteful number, since it uses less digits than its factorization.

3998250048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51732 (or 51722 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 3998250048 is about 63231.7171046303. The cubic root of 3998250048 is about 1587.1695285649.

The spelling of 3998250048 in words is "three billion, nine hundred ninety-eight million, two hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 19344 25792 38688 51673 77376 103346 155019 206692 310038 413384 620076 671749 826768 1240152 1343498 1601863 1653536 2015247 2480304 2686996 3203726 3307072 4030494 4805589 4960608 5373992 6407452 8060988 9611178 9921216 10747984 12814904 16121976 19222356 20824219 21495968 25629808 32243952 38444712 41648438 42991936 51259616 62472657 64487904 76889424 83296876 102519232 124945314 128975808 153778848 166593752 249890628 307557696 333187504 499781256 666375008 999562512 1332750016 1999125024 3998250048