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3835944225 = 325241292
BaseRepresentation
bin1110010010100011…
…1101110100100001
3100220100000011020100
43210220331310201
530324000203400
61432345333013
7164025662601
oct34450756441
910810004210
103835944225
111699321743
128b0797169
13491940ba9
1428564ac01
15176b6b100
hexe4a3dd21

3835944225 has 27 divisors (see below), whose sum is σ = 6872266713. Its totient is φ = 2045341440.

The previous prime is 3835944199. The next prime is 3835944283. The reversal of 3835944225 is 5224495383.

The square root of 3835944225 is 61935.

It is a perfect power (a square), and thus also a powerful number.

3835944225 is a `hidden beast` number, since 38 + 3 + 594 + 4 + 2 + 25 = 666.

3835944225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30041361 + 3805902864 = 5481^2 + 61692^2 .

It is not a de Polignac number, because 3835944225 - 27 = 3835944097 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 926961 + ... + 931089.

Almost surely, 23835944225 is an apocalyptic number.

3835944225 is the 61935-th square number.

3835944225 is the 30968-th centered octagonal number.

It is an amenable number.

3835944225 is a deficient number, since it is larger than the sum of its proper divisors (3036322488).

3835944225 is an frugal number, since it uses more digits than its factorization.

3835944225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 4137 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The cubic root of 3835944225 is about 1565.3955489816.

The spelling of 3835944225 in words is "three billion, eight hundred thirty-five million, nine hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 4129 12387 20645 37161 61935 103225 185805 309675 929025 17048641 51145923 85243205 153437769 255729615 426216025 767188845 1278648075 3835944225