Search a number
-
+
40000896 = 2732132671
BaseRepresentation
bin1001100010010…
…1110110000000
32210021020220200
42120211312000
540220012041
63545205200
7664000455
oct230456600
983236820
1040000896
11206412a1
1211490800
138397090
14545382c
1537a21b6
hex2625d80

40000896 has 96 divisors (see below), whose sum is σ = 124007520. Its totient is φ = 12303360.

The previous prime is 40000867. The next prime is 40000897. The reversal of 40000896 is 69800004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40000897) 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, 13641 + ... + 16311.

It is an arithmetic number, because the mean of its divisors is an integer number (1291745).

Almost surely, 240000896 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 40000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62003760).

40000896 is an abundant number, since it is smaller than the sum of its proper divisors (84006624).

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

40000896 is a wasteful number, since it uses less digits than its factorization.

40000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40000896 is about 6324.6261549597. The cubic root of 40000896 is about 341.9977428804.

The spelling of 40000896 in words is "forty million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 2671 3744 4992 5342 7488 8013 10684 14976 16026 21368 24039 32052 34723 42736 48078 64104 69446 85472 96156 104169 128208 138892 170944 192312 208338 256416 277784 312507 341888 384624 416676 512832 555568 625014 769248 833352 1025664 1111136 1250028 1538496 1666704 2222272 2500056 3076992 3333408 4444544 5000112 6666816 10000224 13333632 20000448 40000896