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40862952 = 233213149293
BaseRepresentation
bin1001101111100…
…0010011101000
32211220001102200
42123320103220
540430103302
64015500200
71004220654
oct233702350
984801380
1040862952
112107aa39
1211827660
138609580
1455d9a64
1538c281c
hex26f84e8

40862952 has 96 divisors (see below), whose sum is σ = 120393000. Its totient is φ = 12446208.

The previous prime is 40862933. The next prime is 40862957. The reversal of 40862952 is 25926804.

It is a happy number.

40862952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30404196 + 10458756 = 5514^2 + 3234^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40862957) 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 23 ways as a sum of consecutive naturals, for example, 139318 + ... + 139610.

Almost surely, 240862952 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 40862952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60196500).

40862952 is an abundant number, since it is smaller than the sum of its proper divisors (79530048).

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

40862952 is a wasteful number, since it uses less digits than its factorization.

40862952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40862952 is about 6392.4136286695. The cubic root of 40862952 is about 344.4370908670.

It can be divided in two parts, 40862 and 952, that added together give a palindrome (41814).

The spelling of 40862952 in words is "forty million, eight hundred sixty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 149 156 234 293 298 312 447 468 586 596 879 894 936 1172 1192 1341 1758 1788 1937 2344 2637 2682 3516 3576 3809 3874 5274 5364 5811 7032 7618 7748 10548 10728 11427 11622 15236 15496 17433 21096 22854 23244 30472 34281 34866 43657 45708 46488 68562 69732 87314 91416 130971 137124 139464 174628 261942 274248 349256 392913 523884 567541 785826 1047768 1135082 1571652 1702623 2270164 3143304 3405246 4540328 5107869 6810492 10215738 13620984 20431476 40862952