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56303424 = 263410861
BaseRepresentation
bin1101011011000…
…1111101000000
310220221111210000
43112301331000
5103403202144
65330440000
71252366632
oct326617500
9126844700
1056303424
1129866661
1216a33000
13b884548
147698a52
154e22769
hex35b1f40

56303424 has 70 divisors (see below), whose sum is σ = 166916354. Its totient is φ = 18766080.

The previous prime is 56303419. The next prime is 56303449. The reversal of 56303424 is 42430365.

56303424 is a `hidden beast` number, since 5 + 630 + 3 + 4 + 24 = 666.

56303424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45805824 + 10497600 = 6768^2 + 3240^2 .

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 (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 247 + ... + 10614.

Almost surely, 256303424 is an apocalyptic number.

56303424 is a gapful number since it is divisible by the number (54) 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 56303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83458177).

56303424 is an abundant number, since it is smaller than the sum of its proper divisors (110612930).

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

56303424 is a wasteful number, since it uses less digits than its factorization.

56303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10885 (or 10866 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 56303424 is about 7503.5607547350. The cubic root of 56303424 is about 383.2759794890.

Adding to 56303424 its reverse (42430365), we get a palindrome (98733789).

The spelling of 56303424 in words is "fifty-six million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10861 21722 32583 43444 65166 86888 97749 130332 173776 195498 260664 293247 347552 390996 521328 586494 695104 781992 879741 1042656 1172988 1563984 1759482 2085312 2345976 3127968 3518964 4691952 6255936 7037928 9383904 14075856 18767808 28151712 56303424