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3826232040 = 2335311028557
BaseRepresentation
bin1110010000001111…
…1010101011101000
3100212122201201121210
43210003322223220
530314003411130
61431401233120
7163550302311
oct34403725350
910778651553
103826232040
111693898844
128a94927a0
1348c920337
1428423d608
15175d9d5b0
hexe40faae8

3826232040 has 64 divisors (see below), whose sum is σ = 11848988160. Its totient is φ = 987413760.

The previous prime is 3826231979. The next prime is 3826232077. The reversal of 3826232040 is 402326283.

3826232040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3826231989 and 3826232007.

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, 510559 + ... + 517998.

It is an arithmetic number, because the mean of its divisors is an integer number (185140440).

Almost surely, 23826232040 is an apocalyptic number.

3826232040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3826232040 is an abundant number, since it is smaller than the sum of its proper divisors (8022756120).

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

3826232040 is a wasteful number, since it uses less digits than its factorization.

3826232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028602 (or 1028598 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3826232040 is about 61856.5440353727. The cubic root of 3826232040 is about 1564.0732964954.

The spelling of 3826232040 in words is "three billion, eight hundred twenty-six million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 1028557 2057114 3085671 4114228 5142785 6171342 8228456 10285570 12342684 15428355 20571140 24685368 30856710 31885267 41142280 61713420 63770534 95655801 123426840 127541068 159426335 191311602 255082136 318852670 382623204 478279005 637705340 765246408 956558010 1275410680 1913116020 3826232040