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40875552 = 2532711999
BaseRepresentation
bin1001101111101…
…1011000100000
32211220200201100
42123323120200
540431004202
64020034400
71004302464
oct233733040
984820640
1040875552
1121089453
1211832a00
138612223
1456004a4
1538c641c
hex26fb620

40875552 has 72 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 13426560.

The previous prime is 40875533. The next prime is 40875557. The reversal of 40875552 is 25557804.

It is a happy number.

40875552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40875557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19449 + ... + 21447.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 240875552 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 40875552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

40875552 is an abundant number, since it is smaller than the sum of its proper divisors (77060448).

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

40875552 is a wasteful number, since it uses less digits than its factorization.

40875552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 40875552 is about 6393.3990959426. The cubic root of 40875552 is about 344.4724893649.

The spelling of 40875552 in words is "forty million, eight hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 1999 2272 2556 3408 3998 5112 5997 6816 7996 10224 11994 15992 17991 20448 23988 31984 35982 47976 63968 71964 95952 141929 143928 191904 283858 287856 425787 567716 575712 851574 1135432 1277361 1703148 2270864 2554722 3406296 4541728 5109444 6812592 10218888 13625184 20437776 40875552