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56303712 = 25321371427
BaseRepresentation
bin1101011011001…
…0000001100000
310220221112011200
43112302001200
5103403204322
65330441200
71252400523
oct326620140
9126845150
1056303712
11298668a3
1216a33200
13b88470a
147698bba
154e228ac
hex35b2060

56303712 has 72 divisors (see below), whose sum is σ = 161395416. Its totient is φ = 18617856.

The previous prime is 56303693. The next prime is 56303717. The reversal of 56303712 is 21730365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56303717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38743 + ... + 40169.

It is an arithmetic number, because the mean of its divisors is an integer number (2241603).

Almost surely, 256303712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56303712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80697708).

56303712 is an abundant number, since it is smaller than the sum of its proper divisors (105091704).

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

56303712 is a wasteful number, since it uses less digits than its factorization.

56303712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 56303712 is about 7503.5799455993. The cubic root of 56303712 is about 383.2766329915.

The spelling of 56303712 in words is "fifty-six million, three hundred three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 822 1096 1233 1427 1644 2192 2466 2854 3288 4281 4384 4932 5708 6576 8562 9864 11416 12843 13152 17124 19728 22832 25686 34248 39456 45664 51372 68496 102744 136992 195499 205488 390998 410976 586497 781996 1172994 1563992 1759491 2345988 3127984 3518982 4691976 6255968 7037964 9383952 14075928 18767904 28151856 56303712