Search a number
-
+
52033352400 = 2433526771909
BaseRepresentation
bin110000011101011011…
…011111001011010000
311222022021221011202000
4300131123133023100
51323031014234100
635523115154000
73521302124601
oct603533371320
9158267834660
1052033352400
112008151a887
12a101a45900
134ba30c3c23
1427387cbda8
151548144900
hexc1d6df2d0

52033352400 has 240 divisors, whose sum is σ = 187966987200. Its totient is φ = 13668272640.

The previous prime is 52033352381. The next prime is 52033352419. The reversal of 52033352400 is 425333025.

52033352400 is a `hidden beast` number, since 5 + 203 + 3 + 3 + 52 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (52033352381) and next prime (52033352419).

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

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687646 + ... + 759554.

It is an arithmetic number, because the mean of its divisors is an integer number (783195780).

Almost surely, 252033352400 is an apocalyptic number.

52033352400 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 52033352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93983493600).

52033352400 is an abundant number, since it is smaller than the sum of its proper divisors (135933634800).

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

52033352400 is a wasteful number, since it uses less digits than its factorization.

52033352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72003 (or 71986 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 52033352400 its reverse (425333025), we get a palindrome (52458685425).

The spelling of 52033352400 in words is "fifty-two billion, thirty-three million, three hundred fifty-two thousand, four hundred".