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40495104 = 21132133
BaseRepresentation
bin1001101001111…
…0100000000000
32211012100211200
42122132200000
540331320404
64003541200
71001126346
oct232364000
984170750
1040495104
1120949631
121168a800
13850b000
145541996
15384d839
hex269e800

40495104 has 144 divisors (see below), whose sum is σ = 126699300. Its totient is φ = 12460032.

The previous prime is 40495097. The next prime is 40495109. The reversal of 40495104 is 40159404.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 27878400 = 3552^2 + 5280^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (40495109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3115002 + ... + 3115014.

Almost surely, 240495104 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 40495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63349650).

40495104 is an abundant number, since it is smaller than the sum of its proper divisors (86204196).

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

40495104 is an equidigital number, since it uses as much as digits as its factorization.

40495104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40495104 is about 6363.5763529638. The cubic root of 40495104 is about 343.4004338850.

The spelling of 40495104 in words is "forty million, four hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 256 288 312 338 384 416 468 507 512 576 624 676 768 832 936 1014 1024 1152 1248 1352 1521 1536 1664 1872 2028 2048 2197 2304 2496 2704 3042 3072 3328 3744 4056 4394 4608 4992 5408 6084 6144 6591 6656 7488 8112 8788 9216 9984 10816 12168 13182 13312 14976 16224 17576 18432 19773 19968 21632 24336 26364 26624 29952 32448 35152 39546 39936 43264 48672 52728 59904 64896 70304 79092 79872 86528 97344 105456 119808 129792 140608 158184 173056 194688 210912 239616 259584 281216 316368 346112 389376 421824 519168 562432 632736 778752 843648 1038336 1124864 1265472 1557504 1687296 2249728 2530944 3115008 3374592 4499456 5061888 6749184 10123776 13498368 20247552 40495104