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56356380 = 22325674673
BaseRepresentation
bin1101011011111…
…0111000011100
310221001012102100
43112332320130
5103411401010
65331525100
71253010213
oct326767034
9127035370
1056356380
11298a2423
1216a59790
13b8a2692
1476b007a
154e332c0
hex35bee1c

56356380 has 72 divisors (see below), whose sum is σ = 173536272. Its totient is φ = 14800896.

The previous prime is 56356361. The next prime is 56356393. The reversal of 56356380 is 8365365.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9724 + ... + 14396.

It is an arithmetic number, because the mean of its divisors is an integer number (2410226).

Almost surely, 256356380 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 56356380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86768136).

56356380 is an abundant number, since it is smaller than the sum of its proper divisors (117179892).

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

56356380 is a wasteful number, since it uses less digits than its factorization.

56356380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56356380 is about 7507.0886500693. The cubic root of 56356380 is about 383.3961048224.

The spelling of 56356380 in words is "fifty-six million, three hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 4673 6030 9346 12060 14019 18692 23365 28038 42057 46730 56076 70095 84114 93460 140190 168228 210285 280380 313091 420570 626182 841140 939273 1252364 1565455 1878546 2817819 3130910 3757092 4696365 5635638 6261820 9392730 11271276 14089095 18785460 28178190 56356380