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5202053000 = 23537371261
BaseRepresentation
bin1001101100001000…
…10000011110001000
3111102112120200011122
410312010100132020
541123211144000
62220110014412
7242624502164
oct46604203610
914375520148
105202053000
11222a472461
1210121a7408
1364b984491
14374c59ca4
15206a69085
hex136110788

5202053000 has 64 divisors (see below), whose sum is σ = 12339727920. Its totient is φ = 2052288000.

The previous prime is 5202052993. The next prime is 5202053009. The reversal of 5202053000 is 3502025.

It can be written as a sum of positive squares in 8 ways, for example, as 201583204 + 5000469796 = 14198^2 + 70714^2 .

It is a super-2 number, since 2×52020530002 = 54122710829618000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5202053000.

It is not an unprimeable number, because it can be changed into a prime (5202053009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37370 + ... + 108630.

Almost surely, 25202053000 is an apocalyptic number.

5202053000 is a gapful number since it is divisible by the number (50) 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 5202053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169863960).

5202053000 is an abundant number, since it is smaller than the sum of its proper divisors (7137674920).

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

5202053000 is a wasteful number, since it uses less digits than its factorization.

5202053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71355 (or 71341 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 5202053000 is about 72125.2590983214. The cubic root of 5202053000 is about 1732.7061792580.

Adding to 5202053000 its reverse (3502025), we get a palindrome (5205555025).

The spelling of 5202053000 in words is "five billion, two hundred two million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2920 3650 7300 9125 14600 18250 36500 71261 73000 142522 285044 356305 570088 712610 1425220 1781525 2850440 3563050 5202053 7126100 8907625 10404106 14252200 17815250 20808212 26010265 35630500 41616424 52020530 71261000 104041060 130051325 208082120 260102650 520205300 650256625 1040410600 1300513250 2601026500 5202053000