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3906325824 = 263171962989
BaseRepresentation
bin1110100011010101…
…1100110101000000
3101002020102220122020
43220311130311000
531000004411244
61443342041440
7165542136012
oct35065346500
911066386566
103906325824
111725023455
12910279280
134a33b42cb
14290b2c1b2
1517ce1ed19
hexe8d5cd40

3906325824 has 112 divisors (see below), whose sum is σ = 11519611200. Its totient is φ = 1160994816.

The previous prime is 3906325823. The next prime is 3906325837. The reversal of 3906325824 is 4285236093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906325823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30522 + ... + 93510.

Almost surely, 23906325824 is an apocalyptic number.

3906325824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906325824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759805600).

3906325824 is an abundant number, since it is smaller than the sum of its proper divisors (7613285376).

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

3906325824 is a wasteful number, since it uses less digits than its factorization.

3906325824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63040 (or 63030 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3906325824 is about 62500.6065890564. The cubic root of 3906325824 is about 1574.9115024097.

The spelling of 3906325824 in words is "three billion, nine hundred six million, three hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 136 152 192 204 228 272 304 323 408 456 544 608 646 816 912 969 1088 1216 1292 1632 1824 1938 2584 3264 3648 3876 5168 7752 10336 15504 20672 31008 62016 62989 125978 188967 251956 377934 503912 755868 1007824 1070813 1196791 1511736 2015648 2141626 2393582 3023472 3212439 3590373 4031296 4283252 4787164 6046944 6424878 7180746 8566504 9574328 12093888 12849756 14361492 17133008 19148656 20345447 25699512 28722984 34266016 38297312 40690894 51399024 57445968 61036341 68532032 76594624 81381788 102798048 114891936 122072682 162763576 205596096 229783872 244145364 325527152 488290728 651054304 976581456 1302108608 1953162912 3906325824