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2552190804 = 2232471738719
BaseRepresentation
bin1001100000011111…
…0101011101010100
320120212101201121100
42120013311131110
520211330101204
61101130150100
7120150156342
oct23007653524
96525351540
102552190804
11109a7107a9
125b2882330
133189a3a97
141a2d58992
15ee0d9a39
hex981f5754

2552190804 has 72 divisors (see below), whose sum is σ = 6627479040. Its totient is φ = 827721792.

The previous prime is 2552190803. The next prime is 2552190829. The reversal of 2552190804 is 4080912552.

2552190804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552190803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288357 + ... + 297075.

It is an arithmetic number, because the mean of its divisors is an integer number (92048320).

Almost surely, 22552190804 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 2552190804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313739520).

2552190804 is an abundant number, since it is smaller than the sum of its proper divisors (4075288236).

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

2552190804 is a wasteful number, since it uses less digits than its factorization.

2552190804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8949 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2552190804 is about 50519.2122266371. The cubic root of 2552190804 is about 1366.5883470750.

The spelling of 2552190804 in words is "two billion, five hundred fifty-two million, one hundred ninety thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 173 188 282 346 423 519 564 692 846 1038 1557 1692 2076 3114 6228 8131 8719 16262 17438 24393 26157 32524 34876 48786 52314 73179 78471 97572 104628 146358 156942 292716 313884 409793 819586 1229379 1508387 1639172 2458758 3016774 3688137 4525161 4917516 6033548 7376274 9050322 13575483 14752548 18100644 27150966 54301932 70894189 141788378 212682567 283576756 425365134 638047701 850730268 1276095402 2552190804