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42992888400 = 24345271119907
BaseRepresentation
bin101000000010100100…
…110110101001010000
311002222020201000120000
4220002210312221100
51201022134412100
631430050450000
73051255343650
oct500244665120
9132866630500
1042992888400
1117262401430
1283ba293900
134092146b47
14211bc82360
1511b9623900
hexa02936a50

42992888400 has 1200 divisors, whose sum is σ = 202719644160. Its totient is φ = 8454067200.

The previous prime is 42992888399. The next prime is 42992888401. The reversal of 42992888400 is 488829924.

It is an interprime number because it is at equal distance from previous prime (42992888399) and next prime (42992888401).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×429928884003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42992888401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47400747 + ... + 47401653.

Almost surely, 242992888400 is an apocalyptic number.

42992888400 is a gapful number since it is divisible by the number (40) 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 42992888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101359822080).

42992888400 is an abundant number, since it is smaller than the sum of its proper divisors (159726755760).

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

42992888400 is a wasteful number, since it uses less digits than its factorization.

42992888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

It can be divided in two parts, 429 and 92888400, that added together give a palindrome (92888829).

The spelling of 42992888400 in words is "forty-two billion, nine hundred ninety-two million, eight hundred eighty-eight thousand, four hundred".