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2823042552 = 2331145723399
BaseRepresentation
bin1010100001000100…
…0011010111111000
321021202001102100120
42220101003113320
521240144330202
61144043333240
7126646315521
oct25021032770
97252042316
102823042552
111219596720
12669521220
1335cb374a5
141cad01848
15117c8c0bc
hexa84435f8

2823042552 has 64 divisors (see below), whose sum is σ = 7716384000. Its totient is φ = 853559040.

The previous prime is 2823042527. The next prime is 2823042581. The reversal of 2823042552 is 2552403282.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108949 + ... + 132347.

It is an arithmetic number, because the mean of its divisors is an integer number (120568500).

Almost surely, 22823042552 is an apocalyptic number.

2823042552 is a gapful number since it is divisible by the number (22) 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 2823042552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858192000).

2823042552 is an abundant number, since it is smaller than the sum of its proper divisors (4893341448).

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

2823042552 is a wasteful number, since it uses less digits than its factorization.

2823042552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23876 (or 23872 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2823042552 is about 53132.3117509487. The cubic root of 2823042552 is about 1413.3155634904.

The spelling of 2823042552 in words is "two billion, eight hundred twenty-three million, forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 457 914 1371 1828 2742 3656 5027 5484 10054 10968 15081 20108 23399 30162 40216 46798 60324 70197 93596 120648 140394 187192 257389 280788 514778 561576 772167 1029556 1544334 2059112 3088668 6177336 10693343 21386686 32080029 42773372 64160058 85546744 117626773 128320116 235253546 256640232 352880319 470507092 705760638 941014184 1411521276 2823042552