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3925964820 = 2235731078377
BaseRepresentation
bin1110101000000001…
…0111100000010100
3101010121101200021110
43222000113200110
531020021333240
61445323015020
7166201102401
oct35200274024
911117350243
103925964820
111735117528
1291696a470
134a749c30b
142935a12a8
1517e9edc80
hexea017814

3925964820 has 96 divisors (see below), whose sum is σ = 11248771968. Its totient is φ = 1022810112.

The previous prime is 3925964759. The next prime is 3925964821. The reversal of 3925964820 is 284695293.

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 3925964820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3925964821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464472 + ... + 472848.

It is an arithmetic number, because the mean of its divisors is an integer number (117174708).

Almost surely, 23925964820 is an apocalyptic number.

3925964820 is a gapful number since it is divisible by the number (30) 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 3925964820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624385984).

3925964820 is an abundant number, since it is smaller than the sum of its proper divisors (7322807148).

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

3925964820 is a wasteful number, since it uses less digits than its factorization.

3925964820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3925964820 is about 62657.5200594470. The cubic root of 3925964820 is about 1577.5463732608.

The spelling of 3925964820 in words is "three billion, nine hundred twenty-five million, nine hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 107 146 214 219 292 321 365 428 438 535 642 730 876 1070 1095 1284 1460 1605 2140 2190 3210 4380 6420 7811 8377 15622 16754 23433 25131 31244 33508 39055 41885 46866 50262 78110 83770 93732 100524 117165 125655 156220 167540 234330 251310 468660 502620 611521 896339 1223042 1792678 1834563 2446084 2689017 3057605 3585356 3669126 4481695 5378034 6115210 7338252 8963390 9172815 10756068 12230420 13445085 17926780 18345630 26890170 36691260 53780340 65432747 130865494 196298241 261730988 327163735 392596482 654327470 785192964 981491205 1308654940 1962982410 3925964820