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3948420632 = 2313791573061
BaseRepresentation
bin1110101101011000…
…0001111000011000
3101012011122112212012
43223112001320120
531041243430012
61451444205052
7166563010262
oct35326017030
911164575765
103948420632
111746864952
12922399788
134ac032490
14296568b32
15181987622
hexeb581e18

3948420632 has 64 divisors (see below), whose sum is σ = 8127772800. Its totient is φ = 1787235840.

The previous prime is 3948420611. The next prime is 3948420661. The reversal of 3948420632 is 2360248493.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3948420632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288382 + ... + 1291442.

It is an arithmetic number, because the mean of its divisors is an integer number (126996450).

Almost surely, 23948420632 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 3948420632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063886400).

3948420632 is an abundant number, since it is smaller than the sum of its proper divisors (4179352168).

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

3948420632 is a wasteful number, since it uses less digits than its factorization.

3948420632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 3948420632 is about 62836.4594164885. The cubic root of 3948420632 is about 1580.5484172176.

The spelling of 3948420632 in words is "three billion, nine hundred forty-eight million, four hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 79 104 157 158 314 316 628 632 1027 1256 2041 2054 3061 4082 4108 6122 8164 8216 12244 12403 16328 24488 24806 39793 49612 79586 99224 159172 161239 241819 318344 322478 480577 483638 644956 961154 967276 1289912 1922308 1934552 3143647 3844616 6247501 6287294 12495002 12574588 24990004 25149176 37965583 49980008 75931166 151862332 303724664 493552579 987105158 1974210316 3948420632