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5274320400 = 2433523767197
BaseRepresentation
bin1001110100101111…
…11011111000010000
3111121120120020102000
410322113323320100
541300211223100
62231210554000
7244462661256
oct47227737020
914546506360
105274320400
112267241a88
121032438900
1366093805b
143806ac5d6
1520d091900
hex13a5fbe10

5274320400 has 480 divisors, whose sum is σ = 19667134080. Its totient is φ = 1341204480.

The previous prime is 5274320357. The next prime is 5274320411. The reversal of 5274320400 is 40234725.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26773102 + ... + 26773298.

It is an arithmetic number, because the mean of its divisors is an integer number (40973196).

Almost surely, 25274320400 is an apocalyptic number.

5274320400 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 5274320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833567040).

5274320400 is an abundant number, since it is smaller than the sum of its proper divisors (14392813680).

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

5274320400 is a wasteful number, since it uses less digits than its factorization.

5274320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

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

The square root of 5274320400 is about 72624.5165216265. The cubic root of 5274320400 is about 1740.6929463553.

The spelling of 5274320400 in words is "five billion, two hundred seventy-four million, three hundred twenty thousand, four hundred".