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40735422 = 23271321913
BaseRepresentation
bin1001101101100…
…1001010111110
32211122120111100
42123121022332
540412013142
64013033530
71003150110
oct233311276
984576440
1040735422
1120aa3142
12117858a6
138593500
1455a53b0
153899b4c
hex26d92be

40735422 has 72 divisors (see below), whose sum is σ = 109281744. Its totient is φ = 10737792.

The previous prime is 40735403. The next prime is 40735423. The reversal of 40735422 is 22453704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40735423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20338 + ... + 22250.

It is an arithmetic number, because the mean of its divisors is an integer number (1517802).

Almost surely, 240735422 is an apocalyptic number.

40735422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40735422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54640872).

40735422 is an abundant number, since it is smaller than the sum of its proper divisors (68546322).

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

40735422 is a wasteful number, since it uses less digits than its factorization.

40735422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 40735422 is about 6382.4307281787. The cubic root of 40735422 is about 344.0783972663.

The spelling of 40735422 in words is "forty million, seven hundred thirty-five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 1913 2366 3042 3549 3826 5739 7098 10647 11478 13391 17217 21294 24869 26782 34434 40173 49738 74607 80346 120519 149214 174083 223821 241038 323297 348166 447642 522249 646594 969891 1044498 1566747 1939782 2263079 2909673 3133494 4526158 5819346 6789237 13578474 20367711 40735422