Search a number
-
+
40122864 = 243483373
BaseRepresentation
bin1001100100001…
…1100111110000
32210111110020000
42121003213300
540232412424
63551550000
7665016165
oct231034760
983443200
1040122864
11207149a1
121152b300
13840a752
14548606c
1537c83c9
hex26439f0

40122864 has 100 divisors (see below), whose sum is σ = 117841416. Its totient is φ = 13177728.

The previous prime is 40122853. The next prime is 40122871. The reversal of 40122864 is 46822104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107382 + ... + 107754.

Almost surely, 240122864 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 40122864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58920708).

40122864 is an abundant number, since it is smaller than the sum of its proper divisors (77718552).

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

40122864 is a wasteful number, since it uses less digits than its factorization.

40122864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40122864 is about 6334.2611250248. The cubic root of 40122864 is about 342.3449889058.

Adding to 40122864 its reverse (46822104), we get a palindrome (86944968).

The spelling of 40122864 in words is "forty million, one hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 373 432 498 648 664 746 747 996 1119 1296 1328 1492 1494 1992 2238 2241 2984 2988 3357 3984 4476 4482 5968 5976 6714 6723 8952 8964 10071 11952 13428 13446 17904 17928 20142 26856 26892 30213 30959 35856 40284 53712 53784 60426 61918 80568 92877 107568 120852 123836 161136 185754 241704 247672 278631 371508 483408 495344 557262 743016 835893 1114524 1486032 1671786 2229048 2507679 3343572 4458096 5015358 6687144 10030716 13374288 20061432 40122864