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5432516400 = 24352411091013
BaseRepresentation
bin1010000111100110…
…11001111100110000
3112000121020102112010
411003303121330300
542111211011100
62255021402520
7251423425143
oct50363317460
915017212463
105432516400
112338571a83
121077409440
1368764665c
143976cc05a
1521bdde750
hex143cd9f30

5432516400 has 240 divisors, whose sum is σ = 18007909920. Its totient is φ = 1398988800.

The previous prime is 5432516387. The next prime is 5432516459. The reversal of 5432516400 is 46152345.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5362294 + ... + 5363306.

It is an arithmetic number, because the mean of its divisors is an integer number (75032958).

Almost surely, 25432516400 is an apocalyptic number.

5432516400 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 5432516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003954960).

5432516400 is an abundant number, since it is smaller than the sum of its proper divisors (12575393520).

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

5432516400 is a wasteful number, since it uses less digits than its factorization.

5432516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5432516400 is about 73705.6062996567. The cubic root of 5432516400 is about 1757.9250253734.

Adding to 5432516400 its reverse (46152345), we get a palindrome (5478668745).

The spelling of 5432516400 in words is "five billion, four hundred thirty-two million, five hundred sixteen thousand, four hundred".