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40361958 = 23271341601
BaseRepresentation
bin1001100111110…
…1111111100110
32210221121012100
42121331333212
540313040313
64001032530
71000033230
oct231757746
983847170
1040361958
112086859a
1211625746
138492520
145509250
153824173
hex267dfe6

40361958 has 96 divisors (see below), whose sum is σ = 110440512. Its totient is φ = 10368000.

The previous prime is 40361953. The next prime is 40361983. The reversal of 40361958 is 85916304.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40361953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66858 + ... + 67458.

It is an arithmetic number, because the mean of its divisors is an integer number (1150422).

Almost surely, 240361958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40361958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55220256).

40361958 is an abundant number, since it is smaller than the sum of its proper divisors (70078554).

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

40361958 is a wasteful number, since it uses less digits than its factorization.

40361958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 40361958 is about 6353.1061694261. The cubic root of 40361958 is about 343.0236591443.

The spelling of 40361958 in words is "forty million, three hundred sixty-one thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 41 42 63 78 82 91 117 123 126 182 234 246 273 287 369 533 546 574 601 738 819 861 1066 1202 1599 1638 1722 1803 2583 3198 3606 3731 4207 4797 5166 5409 7462 7813 8414 9594 10818 11193 12621 15626 22386 23439 24641 25242 33579 37863 46878 49282 54691 67158 70317 73923 75726 109382 140634 147846 164073 172487 221769 320333 328146 344974 443538 492219 517461 640666 960999 984438 1034922 1552383 1921998 2242331 2882997 3104766 4484662 5765994 6726993 13453986 20180979 40361958