Search a number
-
+
40504896 = 263270321
BaseRepresentation
bin1001101010000…
…0111001000000
32211012212021100
42122200321000
540332124041
64004054400
71001200035
oct232407100
984185240
1040504896
1120955a23
1211694400
1385125c3
14554538c
1538516b6
hex26a0e40

40504896 has 42 divisors (see below), whose sum is σ = 116101622. Its totient is φ = 13501440.

The previous prime is 40504883. The next prime is 40504921. The reversal of 40504896 is 69840504.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 360000 = 6336^2 + 600^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 40504896.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34585 + ... + 35736.

Almost surely, 240504896 is an apocalyptic number.

It is an amenable number.

40504896 is an abundant number, since it is smaller than the sum of its proper divisors (75596726).

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

40504896 is a wasteful number, since it uses less digits than its factorization.

40504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70339 (or 70326 counting only the distinct ones).

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

The square root of 40504896 is about 6364.3456851431. The cubic root of 40504896 is about 343.4281105317.

The spelling of 40504896 in words is "forty million, five hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 70321 140642 210963 281284 421926 562568 632889 843852 1125136 1265778 1687704 2250272 2531556 3375408 4500544 5063112 6750816 10126224 13501632 20252448 40504896