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56240000 = 27541937
BaseRepresentation
bin1101011010001…
…0011110000000
310220211021202222
43112202132000
5103344140000
65325230212
71252014005
oct326423600
9126737688
1056240000
1129822a43
1216a02368
13b86170b
14767d8ac
154e0da85
hex35a2780

56240000 has 160 divisors (see below), whose sum is σ = 151357800. Its totient is φ = 20736000.

The previous prime is 56239999. The next prime is 56240017. The reversal of 56240000 is 4265.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1519982 + ... + 1520018.

Almost surely, 256240000 is an apocalyptic number.

56240000 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 56240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75678900).

56240000 is an abundant number, since it is smaller than the sum of its proper divisors (95117800).

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

56240000 is an equidigital number, since it uses as much as digits as its factorization.

56240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 56240000 is about 7499.3333037011. Note that the first 4 decimals coincide. The cubic root of 56240000 is about 383.1320093865.

Adding to 56240000 its reverse (4265), we get a palindrome (56244265).

The spelling of 56240000 in words is "fifty-six million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 37 38 40 50 64 74 76 80 95 100 125 128 148 152 160 185 190 200 250 296 304 320 370 380 400 475 500 592 608 625 640 703 740 760 800 925 950 1000 1184 1216 1250 1406 1480 1520 1600 1850 1900 2000 2368 2375 2432 2500 2812 2960 3040 3200 3515 3700 3800 4000 4625 4736 4750 5000 5624 5920 6080 7030 7400 7600 8000 9250 9500 10000 11248 11840 11875 12160 14060 14800 15200 16000 17575 18500 19000 20000 22496 23125 23680 23750 28120 29600 30400 35150 37000 38000 40000 44992 46250 47500 56240 59200 60800 70300 74000 76000 80000 87875 89984 92500 95000 112480 118400 140600 148000 152000 175750 185000 190000 224960 281200 296000 304000 351500 370000 380000 439375 449920 562400 592000 703000 740000 760000 878750 1124800 1406000 1480000 1520000 1757500 2249600 2812000 2960000 3515000 5624000 7030000 11248000 14060000 28120000 56240000