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5472230400 = 210345271329
BaseRepresentation
bin1010001100010101…
…11001110000000000
3112010100222002220000
411012022321300000
542201342333100
62303000520000
7252415122330
oct50612716000
915110862800
105472230400
112358a2776a
121088780000
1369293cc70
1439caa90c0
15220636900
hex1462b9c00

5472230400 has 1320 divisors, whose sum is σ = 25799077920. Its totient is φ = 1114767360.

The previous prime is 5472230389. The next prime is 5472230417. The reversal of 5472230400 is 40322745.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 188697586 + ... + 188697614.

It is an arithmetic number, because the mean of its divisors is an integer number (19544756).

Almost surely, 25472230400 is an apocalyptic number.

5472230400 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 5472230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899538960).

5472230400 is an abundant number, since it is smaller than the sum of its proper divisors (20326847520).

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

5472230400 is a wasteful number, since it uses less digits than its factorization.

5472230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 5472230400 is about 73974.5253448780. The cubic root of 5472230400 is about 1762.1983548963.

The spelling of 5472230400 in words is "five billion, four hundred seventy-two million, two hundred thirty thousand, four hundred".