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40023152 = 2413317607
BaseRepresentation
bin1001100010101…
…1010001110000
32210022101102222
42120223101300
540221220102
63545500212
7664122401
oct230532160
983271388
1040023152
1120656a94
12114a1668
1383a4250
14545b9a8
1537a8aa2
hex262b470

40023152 has 40 divisors (see below), whose sum is σ = 83911296. Its totient is φ = 18383616.

The previous prime is 40023149. The next prime is 40023157. The reversal of 40023152 is 25132004.

It is a super-3 number, since 3×400231523 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40023152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40023157) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65633 + ... + 66239.

Almost surely, 240023152 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 40023152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41955648).

40023152 is an abundant number, since it is smaller than the sum of its proper divisors (43888144).

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

40023152 is a wasteful number, since it uses less digits than its factorization.

40023152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

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

The square root of 40023152 is about 6326.3853818749. The cubic root of 40023152 is about 342.0611588811.

Adding to 40023152 its reverse (25132004), we get a palindrome (65155156).

The spelling of 40023152 in words is "forty million, twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 317 607 634 1214 1268 2428 2536 4121 4856 5072 7891 8242 9712 15782 16484 31564 32968 63128 65936 126256 192419 384838 769676 1539352 2501447 3078704 5002894 10005788 20011576 40023152