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3914961620 = 2251728232
BaseRepresentation
bin1110100101011001…
…1001001011010100
3101002211200122201112
43221112121023110
531004212232440
61444251114152
7166005424163
oct35126311324
911084618645
103914961620
111729991679
12913142958
134a5118c4b
14291d393da
1517da78965
hexe95992d4

3914961620 has 54 divisors (see below), whose sum is σ = 8744104782. Its totient is φ = 1472077056.

The previous prime is 3914961599. The next prime is 3914961623. The reversal of 3914961620 is 261694193.

3914961620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1311308944 + 2603652676 = 36212^2 + 51026^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914961623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4756529 + ... + 4757351.

Almost surely, 23914961620 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 3914961620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372052391).

3914961620 is an abundant number, since it is smaller than the sum of its proper divisors (4829143162).

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

3914961620 is an equidigital number, since it uses as much as digits as its factorization.

3914961620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 3914961620 is about 62569.6541463991. The cubic root of 3914961620 is about 1576.0712114704.

The spelling of 3914961620 in words is "three billion, nine hundred fourteen million, nine hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 823 1156 1445 1646 2890 3292 4115 5780 8230 13991 16460 27982 55964 69955 139910 237847 279820 475694 677329 951388 1189235 1354658 2378470 2709316 3386645 4756940 6773290 11514593 13546580 23029186 46058372 57572965 115145930 195748081 230291860 391496162 782992324 978740405 1957480810 3914961620