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56472000 = 2635313181
BaseRepresentation
bin1101011101101…
…1000111000000
310221021002000120
43113123013000
5103424101000
65334220240
71254001254
oct327330700
9127232016
1056472000
1129971282
1216ab4680
13b9131b0
147700264
154e576a0
hex35db1c0

56472000 has 224 divisors, whose sum is σ = 201923904. Its totient is φ = 13824000.

The previous prime is 56471999. The next prime is 56472001. The reversal of 56472000 is 27465.

It is a happy number.

56472000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56471999) and next prime (56472001).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56472001) 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 31 ways as a sum of consecutive naturals, for example, 311910 + ... + 312090.

It is an arithmetic number, because the mean of its divisors is an integer number (901446).

Almost surely, 256472000 is an apocalyptic number.

56472000 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 56472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100961952).

56472000 is an abundant number, since it is smaller than the sum of its proper divisors (145451904).

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

56472000 is a wasteful number, since it uses less digits than its factorization.

56472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 56472000 is about 7514.7854260784. The cubic root of 56472000 is about 383.6581158418.

Adding to 56472000 its reverse (27465), we get a palindrome (56499465).

The spelling of 56472000 in words is "fifty-six million, four hundred seventy-two thousand".