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3125483136 = 27324166173
BaseRepresentation
bin1011101001001011…
…0001011010000000
322001211010222211200
42322102301122000
522400110430021
61234045541200
7140311111506
oct27222613200
98054128750
103125483136
111364287816
12732874800
133aa6ab109
1421914c676
151345ce126
hexba4b1680

3125483136 has 96 divisors (see below), whose sum is σ = 9213406020. Its totient is φ = 1016401920.

The previous prime is 3125483117. The next prime is 3125483171. The reversal of 3125483136 is 6313845213.

It can be written as a sum of positive squares in 2 ways, for example, as 2269569600 + 855913536 = 47640^2 + 29256^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3125483136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14146 + ... + 80318.

Almost surely, 23125483136 is an apocalyptic number.

3125483136 is a gapful number since it is divisible by the number (36) 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 3125483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606703010).

3125483136 is an abundant number, since it is smaller than the sum of its proper divisors (6087922884).

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

3125483136 is a wasteful number, since it uses less digits than its factorization.

3125483136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66234 (or 66219 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3125483136 is about 55906.0205702391. The cubic root of 3125483136 is about 1462.0842091298.

The spelling of 3125483136 in words is "three billion, one hundred twenty-five million, four hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2624 2952 3936 5248 5904 7872 11808 15744 23616 47232 66173 132346 198519 264692 397038 529384 595557 794076 1058768 1191114 1588152 2117536 2382228 2713093 3176304 4235072 4764456 5426186 6352608 8139279 8470144 9528912 10852372 12705216 16278558 19057824 21704744 24417837 25410432 32557116 38115648 43409488 48835674 65114232 76231296 86818976 97671348 130228464 173637952 195342696 260456928 347275904 390685392 520913856 781370784 1041827712 1562741568 3125483136