Search a number
-
+
3880428552 = 233371113131137
BaseRepresentation
bin1110011101001010…
…1010010000001000
3101000102201012021000
43213102222100020
530421342203202
61441015015000
7165106045530
oct34722522010
911012635230
103880428552
111711445450
1290366a460
1349ac17890
1428b50a4c0
1517aa0691c
hexe74aa408

3880428552 has 512 divisors, whose sum is σ = 14689382400. Its totient is φ = 916531200.

The previous prime is 3880428547. The next prime is 3880428557. The reversal of 3880428552 is 2558240883.

It is an interprime number because it is at equal distance from previous prime (3880428547) and next prime (3880428557).

It is a junction number, because it is equal to n+sod(n) for n = 3880428498 and 3880428507.

It is not an unprimeable number, because it can be changed into a prime (3880428557) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 28324228 + ... + 28324364.

It is an arithmetic number, because the mean of its divisors is an integer number (28690200).

Almost surely, 23880428552 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 3880428552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344691200).

3880428552 is an abundant number, since it is smaller than the sum of its proper divisors (10808953848).

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

3880428552 is a wasteful number, since it uses less digits than its factorization.

3880428552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 3880428552 is about 62293.0859084698. The cubic root of 3880428552 is about 1571.4234526933.

The spelling of 3880428552 in words is "three billion, eight hundred eighty million, four hundred twenty-eight thousand, five hundred fifty-two".