Search a number
-
+
40928112 = 2433175573
BaseRepresentation
bin1001110000100…
…0001101110000
32212000100211000
42130020031300
540434144422
64021122000
71004611641
oct234101560
985010730
1040928112
1121114995
1211859300
138630124
1456156c8
1538d6cac
hex2708370

40928112 has 80 divisors (see below), whose sum is σ = 124411680. Its totient is φ = 12837888.

The previous prime is 40928101. The next prime is 40928113. The reversal of 40928112 is 21182904.

It is a super-2 number, since 2×409281122 = 3350220703769088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40928113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4558 + ... + 10130.

It is an arithmetic number, because the mean of its divisors is an integer number (1555146).

Almost surely, 240928112 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 40928112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62205840).

40928112 is an abundant number, since it is smaller than the sum of its proper divisors (83483568).

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

40928112 is a wasteful number, since it uses less digits than its factorization.

40928112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 40928112 is about 6397.5082649419. The cubic root of 40928112 is about 344.6200732576.

The spelling of 40928112 in words is "forty million, nine hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 5573 7344 11146 16719 22292 33438 44584 50157 66876 89168 94741 100314 133752 150471 189482 200628 267504 284223 300942 378964 401256 568446 601884 757928 802512 852669 1136892 1203768 1515856 1705338 2273784 2407536 2558007 3410676 4547568 5116014 6821352 10232028 13642704 20464056 40928112