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3961085625 = 3354733533
BaseRepresentation
bin1110110000011001…
…0101111010111001
3101020001110222222000
43230012111322321
531103014220000
61453015451213
7200105446410
oct35406257271
911201428860
103961085625
111752a25292
12926686b09
134b1848063
14298104477
15182b3a000
hexec195eb9

3961085625 has 80 divisors (see below), whose sum is σ = 8380817280. Its totient is φ = 1810728000.

The previous prime is 3961085621. The next prime is 3961085651. The reversal of 3961085625 is 5265801693.

3961085625 is a `hidden beast` number, since 3 + 9 + 6 + 10 + 8 + 5 + 625 = 666.

It is not a de Polignac number, because 3961085625 - 22 = 3961085621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Together with 4419731655 it forms an amicable pair .

It is not an unprimeable number, because it can be changed into a prime (3961085621) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101359 + ... + 134891.

It is an arithmetic number, because the mean of its divisors is an integer number (104760216).

Almost surely, 23961085625 is an apocalyptic number.

3961085625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3961085625 is an abundant number, since it is smaller than the sum of its proper divisors (4419731655).

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

3961085625 is an equidigital number, since it uses as much as digits as its factorization.

3961085625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33569 (or 33548 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3961085625 is about 62937.1561559624. The cubic root of 3961085625 is about 1582.2365411235.

The spelling of 3961085625 in words is "three billion, nine hundred sixty-one million, eighty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 625 675 875 945 1125 1575 1875 2625 3375 4375 4725 5625 7875 13125 16875 23625 33533 39375 100599 118125 167665 234731 301797 502995 704193 838325 905391 1173655 1508985 2112579 2514975 3520965 4191625 4526955 5868275 6337737 7544925 10562895 12574875 17604825 20958125 22634775 29341375 31688685 37724625 52814475 62874375 88024125 113173875 146706875 158443425 188623125 264072375 440120625 565869375 792217125 1320361875 3961085625