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56151400 = 23522231259
BaseRepresentation
bin1101011000110…
…0110101101000
310220122210020111
43112030311220
5103333321100
65323304104
71251164464
oct326146550
9126583214
1056151400
1129772418
121697b034
13b8302a6
1476594a4
154de26ba
hex358cd68

56151400 has 48 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 22342080.

The previous prime is 56151397. The next prime is 56151419. The reversal of 56151400 is 415165.

56151400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 43971 + ... + 45229.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 256151400 is an apocalyptic number.

56151400 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 56151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

56151400 is an abundant number, since it is smaller than the sum of its proper divisors (75090200).

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

56151400 is a wasteful number, since it uses less digits than its factorization.

56151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 56151400 is about 7493.4237835585. The cubic root of 56151400 is about 382.9307093778.

Adding to 56151400 its reverse (415165), we get a palindrome (56566565).

The spelling of 56151400 in words is "fifty-six million, one hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 446 892 1115 1259 1784 2230 2518 4460 5036 5575 6295 8920 10072 11150 12590 22300 25180 31475 44600 50360 62950 125900 251800 280757 561514 1123028 1403785 2246056 2807570 5615140 7018925 11230280 14037850 28075700 56151400