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40412848 = 2472192713
BaseRepresentation
bin1001101000101…
…0011010110000
32211001012000011
42122022122300
540321202343
64002104304
71000334500
oct232123260
984035004
1040412848
11208a2853
121164b094
1384ac738
14551da00
15383429d
hex268a6b0

40412848 has 60 divisors (see below), whose sum is σ = 95912760. Its totient is φ = 16402176.

The previous prime is 40412837. The next prime is 40412851. The reversal of 40412848 is 84821404.

It is a super-2 number, since 2×404128482 = 3266396566942208, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13540 + ... + 16252.

It is an arithmetic number, because the mean of its divisors is an integer number (1598546).

Almost surely, 240412848 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 40412848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47956380).

40412848 is an abundant number, since it is smaller than the sum of its proper divisors (55499912).

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

40412848 is a wasteful number, since it uses less digits than its factorization.

40412848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 40412848 is about 6357.1100352283. The cubic root of 40412848 is about 343.1677646618.

It can be divided in two parts, 4041 and 2848, that added together give a square (6889 = 832).

The spelling of 40412848 in words is "forty million, four hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 2713 3724 5426 7448 10852 14896 18991 21704 37982 43408 51547 75964 103094 132937 151928 206188 265874 303856 360829 412376 531748 721658 824752 1063496 1443316 2126992 2525803 2886632 5051606 5773264 10103212 20206424 40412848