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5421530400 = 25352111315797
BaseRepresentation
bin1010000110010010…
…11111110100100000
3111222211120021120020
411003021133310200
542100402433100
62253550113440
7251231151036
oct50311376440
914884507506
105421530400
112332349040
1210737ab880
1368529b070
1439606c556
1521ae6e5a0
hex14325fd20

5421530400 has 288 divisors, whose sum is σ = 20733547968. Its totient is φ = 1213132800.

The previous prime is 5421530381. The next prime is 5421530407. The reversal of 5421530400 is 40351245.

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

It is not an unprimeable number, because it can be changed into a prime (5421530407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335302 + ... + 351098.

It is an arithmetic number, because the mean of its divisors is an integer number (71991486).

Almost surely, 25421530400 is an apocalyptic number.

5421530400 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 5421530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10366773984).

5421530400 is an abundant number, since it is smaller than the sum of its proper divisors (15312017568).

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

5421530400 is a wasteful number, since it uses less digits than its factorization.

5421530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15844 (or 15831 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5421530400 is about 73631.0423666540. The cubic root of 5421530400 is about 1756.7392276116.

Adding to 5421530400 its reverse (40351245), we get a palindrome (5461881645).

The spelling of 5421530400 in words is "five billion, four hundred twenty-one million, five hundred thirty thousand, four hundred".