Search a number
-
+
40875084 = 22333753193
BaseRepresentation
bin1001101111101…
…1010001001100
32211220200002000
42123323101030
540431000314
64020032300
71004301225
oct233732114
984820060
1040875084
1121089068
1211832690
138611c53
14560024c
1538c6209
hex26fb44c

40875084 has 96 divisors (see below), whose sum is σ = 111464640. Its totient is φ = 12939264.

The previous prime is 40875083. The next prime is 40875139. The reversal of 40875084 is 48057804.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40875083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211692 + ... + 211884.

It is an arithmetic number, because the mean of its divisors is an integer number (1161090).

Almost surely, 240875084 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 40875084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55732320).

40875084 is an abundant number, since it is smaller than the sum of its proper divisors (70589556).

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

40875084 is a wasteful number, since it uses less digits than its factorization.

40875084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 40875084 is about 6393.3624955887. The cubic root of 40875084 is about 344.4711746936.

The spelling of 40875084 in words is "forty million, eight hundred seventy-five thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 53 54 74 106 108 111 148 159 193 212 222 318 333 386 444 477 579 636 666 772 954 999 1158 1332 1431 1737 1908 1961 1998 2316 2862 3474 3922 3996 5211 5724 5883 6948 7141 7844 10229 10422 11766 14282 17649 20458 20844 21423 23532 28564 30687 35298 40916 42846 52947 61374 64269 70596 85692 92061 105894 122748 128538 184122 192807 211788 257076 276183 368244 378473 385614 552366 756946 771228 1104732 1135419 1513892 2270838 3406257 4541676 6812514 10218771 13625028 20437542 40875084