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40743846 = 232112131439
BaseRepresentation
bin1001101101101…
…1001110100110
32211200000001100
42123123032212
540412300341
64013140530
71003213503
oct233331646
984600040
1040743846
1120aa9500
121178a746
1385972b0
1455a84aa
15389c3b6
hex26db3a6

40743846 has 72 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 11388960.

The previous prime is 40743823. The next prime is 40743851. The reversal of 40743846 is 64834704.

It is a self number, because there is not a number n which added to its sum of digits gives 40743846.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27595 + ... + 29033.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 240743846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40743846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

40743846 is an abundant number, since it is smaller than the sum of its proper divisors (63826074).

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

40743846 is a wasteful number, since it uses less digits than its factorization.

40743846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 40743846 is about 6383.0906307211. The cubic root of 40743846 is about 344.1021138623.

It can be divided in two parts, 407 and 43846, that added together give a triangular number (44253 = T297).

The spelling of 40743846 in words is "forty million, seven hundred forty-three thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1439 1573 2178 2574 2878 3146 4317 4719 8634 9438 12951 14157 15829 18707 25902 28314 31658 37414 47487 56121 94974 112242 142461 168363 174119 205777 284922 336726 348238 411554 522357 617331 1044714 1234662 1567071 1851993 2263547 3134142 3703986 4527094 6790641 13581282 20371923 40743846