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56748636 = 22327239791
BaseRepresentation
bin1101100001111…
…0101001011100
310221210010111100
43120132221130
5104011424021
65344153100
71256232630
oct330365134
9127703440
1056748636
112a0400aa
1217008790
13b9ac099
147772dc0
154eae626
hex361ea5c

56748636 has 72 divisors (see below), whose sum is σ = 171085824. Its totient is φ = 15507360.

The previous prime is 56748617. The next prime is 56748641. The reversal of 56748636 is 63684765.

56748636 is a `hidden beast` number, since 5 + 6 + 7 + 4 + 8 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56748591 and 56748600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901 + ... + 10691.

It is an arithmetic number, because the mean of its divisors is an integer number (2376192).

Almost surely, 256748636 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 56748636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85542912).

56748636 is an abundant number, since it is smaller than the sum of its proper divisors (114337188).

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

56748636 is a wasteful number, since it uses less digits than its factorization.

56748636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9831 (or 9826 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 56748636 is about 7533.1690542560. The cubic root of 56748636 is about 384.2835633386.

The spelling of 56748636 in words is "fifty-six million, seven hundred forty-eight thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 9791 19582 29373 39164 58746 68537 88119 117492 137074 176238 205611 225193 274148 352476 411222 450386 616833 675579 822444 900772 1233666 1351158 1576351 2026737 2467332 2702316 3152702 4053474 4729053 6305404 8106948 9458106 14187159 18916212 28374318 56748636