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55840400 = 2452731137
BaseRepresentation
bin1101010100000…
…0111010010000
310220001222121222
43111000322100
5103243343100
65312504212
71245431000
oct325007220
9126058558
1055840400
112957a7a0
121684b068
13b751875
1475b8000
154d80485
hex3540e90

55840400 has 240 divisors, whose sum is σ = 175286400. Its totient is φ = 16934400.

The previous prime is 55840391. The next prime is 55840409. The reversal of 55840400 is 404855.

55840400 = 713 + 723 + ... + 1253.

It is an interprime number because it is at equal distance from previous prime (55840391) and next prime (55840409).

It is a super-4 number, since 4×558404004 (a number of 32 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55840400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55840409) 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, 1509182 + ... + 1509218.

It is an arithmetic number, because the mean of its divisors is an integer number (730360).

Almost surely, 255840400 is an apocalyptic number.

55840400 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 55840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87643200).

55840400 is an abundant number, since it is smaller than the sum of its proper divisors (119446000).

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

55840400 is a wasteful number, since it uses less digits than its factorization.

55840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 55840400 is about 7472.6434412462. The cubic root of 55840400 is about 382.2224337979. Note that the first 3 decimals are identical.

The spelling of 55840400 in words is "fifty-five million, eight hundred forty thousand, four hundred".