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40492420 = 225192341113
BaseRepresentation
bin1001101001110…
…1110110000100
32211012020011021
42122131312010
540331224140
64003520524
71001115463
oct232356604
984166137
1040492420
1120947611
1211689144
138509a17
1455409da
15384cb4a
hex269dd84

40492420 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 14192640.

The previous prime is 40492411. The next prime is 40492421. The reversal of 40492420 is 2429404.

40492420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40492421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358284 + ... + 358396.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 240492420 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 40492420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

40492420 is an abundant number, since it is smaller than the sum of its proper divisors (56033660).

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

40492420 is a wasteful number, since it uses less digits than its factorization.

40492420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 40492420 is about 6363.3654617663. The cubic root of 40492420 is about 343.3928469010.

The spelling of 40492420 in words is "forty million, four hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 41 46 76 82 92 95 113 115 164 190 205 226 230 380 410 437 452 460 565 779 820 874 943 1130 1558 1748 1886 2147 2185 2260 2599 3116 3772 3895 4294 4370 4633 4715 5198 7790 8588 8740 9266 9430 10396 10735 12995 15580 17917 18532 18860 21470 23165 25990 35834 42940 46330 49381 51980 71668 88027 89585 92660 98762 106559 176054 179170 197524 213118 246905 352108 358340 426236 440135 493810 532795 880270 987620 1065590 1760540 2024621 2131180 4049242 8098484 10123105 20246210 40492420