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56274000 = 2435383113
BaseRepresentation
bin1101011010101…
…0110001010000
310220220000102020
43112222301100
5103401232000
65330051440
71252215066
oct326526120
9126800366
1056274000
1129846542
1216a19b80
13b874033
14768c036
154e18ba0
hex35aac50

56274000 has 160 divisors (see below), whose sum is σ = 185238144. Its totient is φ = 14694400.

The previous prime is 56273989. The next prime is 56274041. The reversal of 56274000 is 47265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 497944 + ... + 498056.

Almost surely, 256274000 is an apocalyptic number.

56274000 is a gapful number since it is divisible by the number (50) 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 56274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

56274000 is an abundant number, since it is smaller than the sum of its proper divisors (128964144).

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

56274000 is a wasteful number, since it uses less digits than its factorization.

56274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 56274000 is about 7501.5998293697. The cubic root of 56274000 is about 383.2092015637.

The spelling of 56274000 in words is "fifty-six million, two hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 83 100 113 120 125 150 166 200 226 240 249 250 300 332 339 375 400 415 452 498 500 565 600 664 678 750 830 904 996 1000 1130 1200 1245 1328 1356 1500 1660 1695 1808 1992 2000 2075 2260 2490 2712 2825 3000 3320 3390 3984 4150 4520 4980 5424 5650 6000 6225 6640 6780 8300 8475 9040 9379 9960 10375 11300 12450 13560 14125 16600 16950 18758 19920 20750 22600 24900 27120 28137 28250 31125 33200 33900 37516 41500 42375 45200 46895 49800 56274 56500 62250 67800 75032 83000 84750 93790 99600 112548 113000 124500 135600 140685 150064 166000 169500 187580 225096 226000 234475 249000 281370 339000 375160 450192 468950 498000 562740 678000 703425 750320 937900 1125480 1172375 1406850 1875800 2250960 2344750 2813700 3517125 3751600 4689500 5627400 7034250 9379000 11254800 14068500 18758000 28137000 56274000