Search a number
-
+
40469952 = 263415397
BaseRepresentation
bin1001101001100…
…0010111000000
32211011002100010
42122120113000
540330014302
64003224520
71000663125
oct232302700
984132303
1040469952
1120931746
1211678140
1384cc723
14553674c
15384616c
hex26985c0

40469952 has 112 divisors (see below), whose sum is σ = 112910112. Its totient is φ = 12779520.

The previous prime is 40469951. The next prime is 40469969. The reversal of 40469952 is 25996404.

It is a self number, because there is not a number n which added to its sum of digits gives 40469952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40469951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417168 + ... + 417264.

It is an arithmetic number, because the mean of its divisors is an integer number (1008126).

Almost surely, 240469952 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 40469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56455056).

40469952 is an abundant number, since it is smaller than the sum of its proper divisors (72440160).

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

40469952 is a wasteful number, since it uses less digits than its factorization.

40469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 40469952 is about 6361.5997987928. The cubic root of 40469952 is about 343.3293224362.

The spelling of 40469952 in words is "forty million, four hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 64 82 96 97 106 123 159 164 192 194 212 246 291 318 328 388 424 492 582 636 656 776 848 984 1164 1272 1312 1552 1696 1968 2173 2328 2544 2624 3104 3392 3936 3977 4346 4656 5088 5141 6208 6519 7872 7954 8692 9312 10176 10282 11931 13038 15423 15908 17384 18624 20564 23862 26076 30846 31816 34768 41128 47724 52152 61692 63632 69536 82256 95448 104304 123384 127264 139072 164512 190896 208608 210781 246768 254528 329024 381792 417216 421562 493536 632343 763584 843124 987072 1264686 1686248 2529372 3372496 5058744 6744992 10117488 13489984 20234976 40469952