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56495340 = 22335119511
BaseRepresentation
bin1101011110000…
…0110011101100
310221022021001000
43113200303230
5103430322330
65334520300
71254126306
oct327406354
9127267030
1056495340
1129987870
1216b06090
13b9209c5
147708976
154e5e560
hex35e0cec

56495340 has 96 divisors (see below), whose sum is σ = 191761920. Its totient is φ = 13694400.

The previous prime is 56495321. The next prime is 56495359. The reversal of 56495340 is 4359465.

It is a happy number.

56495340 is a `hidden beast` number, since 5 + 649 + 5 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56495321) and next prime (56495359).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 56495295 and 56495304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185 + ... + 10695.

It is an arithmetic number, because the mean of its divisors is an integer number (1997520).

Almost surely, 256495340 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 56495340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95880960).

56495340 is an abundant number, since it is smaller than the sum of its proper divisors (135266580).

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

56495340 is a wasteful number, since it uses less digits than its factorization.

56495340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9540 (or 9532 counting only the distinct ones).

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

The square root of 56495340 is about 7516.3382042056. The cubic root of 56495340 is about 383.7109641386.

The spelling of 56495340 in words is "fifty-six million, four hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 9511 19022 28533 38044 47555 57066 85599 95110 104621 114132 142665 171198 190220 209242 256797 285330 313863 342396 418484 427995 513594 523105 570660 627726 855990 941589 1027188 1046210 1255452 1283985 1569315 1711980 1883178 2092420 2567970 2824767 3138630 3766356 4707945 5135940 5649534 6277260 9415890 11299068 14123835 18831780 28247670 56495340