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40513856 = 2617231619
BaseRepresentation
bin1001101010001…
…1000101000000
32211020022120012
42122203011000
540332420411
64004204052
71001235125
oct232430500
984208505
1040513856
1120961729
1211699628
1385166c6
14554874c
15385418b
hex26a3140

40513856 has 56 divisors (see below), whose sum is σ = 88879680. Its totient is φ = 18225152.

The previous prime is 40513849. The next prime is 40513861. The reversal of 40513856 is 65831504.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24215 + ... + 25833.

Almost surely, 240513856 is an apocalyptic number.

40513856 is a gapful number since it is divisible by the number (46) 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 40513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44439840).

40513856 is an abundant number, since it is smaller than the sum of its proper divisors (48365824).

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

40513856 is a wasteful number, since it uses less digits than its factorization.

40513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 40513856 is about 6365.0495677567. The cubic root of 40513856 is about 343.4534316600.

The spelling of 40513856 in words is "forty million, five hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 368 391 544 736 782 1088 1472 1564 1619 3128 3238 6256 6476 12512 12952 25024 25904 27523 37237 51808 55046 74474 103616 110092 148948 220184 297896 440368 595792 633029 880736 1191584 1266058 1761472 2383168 2532116 5064232 10128464 20256928 40513856