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5055122400 = 253522106301
BaseRepresentation
bin1001011010100111…
…10000101111100000
3111001022002211021120
410231103300233200
540323102404100
62153340452240
7236161555116
oct45523605740
914038084246
105055122400
112164537309
12b90b4a080
136273bb6b3
1435d52dab6
151e8be40a0
hex12d4f0be0

5055122400 has 72 divisors (see below), whose sum is σ = 16454431224. Its totient is φ = 1348032000.

The previous prime is 5055122357. The next prime is 5055122407. The reversal of 5055122400 is 42215505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5055122407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050751 + ... + 1055550.

It is an arithmetic number, because the mean of its divisors is an integer number (228533767).

Almost surely, 25055122400 is an apocalyptic number.

5055122400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5055122400 is an abundant number, since it is smaller than the sum of its proper divisors (11399308824).

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

5055122400 is a wasteful number, since it uses less digits than its factorization.

5055122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106324 (or 2106311 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 5055122400 is about 71099.3839635759. The cubic root of 5055122400 is about 1716.2368601709.

Adding to 5055122400 its reverse (42215505), we get a palindrome (5097337905).

The spelling of 5055122400 in words is "five billion, fifty-five million, one hundred twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 2106301 4212602 6318903 8425204 10531505 12637806 16850408 21063010 25275612 31594515 33700816 42126020 50551224 52657525 63189030 67401632 84252040 101102448 105315050 126378060 157972575 168504080 202204896 210630100 252756120 315945150 337008160 421260200 505512240 631890300 842520400 1011024480 1263780600 1685040800 2527561200 5055122400