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5325550400 = 26523328469
BaseRepresentation
bin1001111010110110…
…10111001101000000
3111202010221222202102
410331123113031000
541401320103100
62240241005532
7245654301002
oct47533271500
914663858672
105325550400
112293152925
1210476238a8
1366b434271
14387406372
15212810cd5
hex13d6d7340

5325550400 has 42 divisors (see below), whose sum is σ = 13104186390. Its totient is φ = 2130219520.

The previous prime is 5325550381. The next prime is 5325550403. The reversal of 5325550400 is 40555235.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 53824 + 5325496576 = 232^2 + 72976^2 .

It is a super-2 number, since 2×53255504002 = 56722974125880320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5325550403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1662635 + ... + 1665834.

Almost surely, 25325550400 is an apocalyptic number.

5325550400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5325550400 is an abundant number, since it is smaller than the sum of its proper divisors (7778635990).

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

5325550400 is a wasteful number, since it uses less digits than its factorization.

5325550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328491 (or 3328476 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 29.

The square root of 5325550400 is about 72976.3687778448. The cubic root of 5325550400 is about 1746.3106384137.

The spelling of 5325550400 in words is "five billion, three hundred twenty-five million, five hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 3328469 6656938 13313876 16642345 26627752 33284690 53255504 66569380 83211725 106511008 133138760 166423450 213022016 266277520 332846900 532555040 665693800 1065110080 1331387600 2662775200 5325550400