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40454952 = 23319791123
BaseRepresentation
bin1001101001010…
…0101100101000
32211010022202120
42122110230220
540324024302
64003031240
71000601316
oct232245450
984108676
1040454952
112092144a
121166b520
1384c5955
1455310b6
1538419bc
hex2694b28

40454952 has 64 divisors (see below), whose sum is σ = 107904000. Its totient is φ = 12602304.

The previous prime is 40454941. The next prime is 40454957. The reversal of 40454952 is 25945404.

It is not an unprimeable number, because it can be changed into a prime (40454957) 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 15 ways as a sum of consecutive naturals, for example, 35463 + ... + 36585.

It is an arithmetic number, because the mean of its divisors is an integer number (1686000).

Almost surely, 240454952 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 40454952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53952000).

40454952 is an abundant number, since it is smaller than the sum of its proper divisors (67449048).

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

40454952 is a wasteful number, since it uses less digits than its factorization.

40454952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 40454952 is about 6360.4207408001. The cubic root of 40454952 is about 343.2868993874.

The spelling of 40454952 in words is "forty million, four hundred fifty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 79 114 152 158 228 237 316 456 474 632 948 1123 1501 1896 2246 3002 3369 4492 4503 6004 6738 8984 9006 12008 13476 18012 21337 26952 36024 42674 64011 85348 88717 128022 170696 177434 256044 266151 354868 512088 532302 709736 1064604 1685623 2129208 3371246 5056869 6742492 10113738 13484984 20227476 40454952