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40025934 = 23313233767
BaseRepresentation
bin1001100010101…
…1111101001110
32210022112021000
42120223331032
540221312214
63545521130
7664133454
oct230537516
983275230
1040025934
1120659093
12114a31a6
1383a55b0
14545c9d4
1537a9809
hex262bf4e

40025934 has 128 divisors (see below), whose sum is σ = 104186880. Its totient is φ = 11290752.

The previous prime is 40025933. The next prime is 40025941. The reversal of 40025934 is 43952004.

40025934 is a `hidden beast` number, since 400 + 259 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40025898 and 40025907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40025933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 597369 + ... + 597435.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 240025934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40025934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093440).

40025934 is an abundant number, since it is smaller than the sum of its proper divisors (64160946).

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

40025934 is a wasteful number, since it uses less digits than its factorization.

40025934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40025934 is about 6326.6052508435. The cubic root of 40025934 is about 342.0690842281.

Adding to 40025934 its reverse (43952004), we get a palindrome (83977938).

The spelling of 40025934 in words is "forty million, twenty-five thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 23 26 27 37 39 46 54 67 69 74 78 111 117 134 138 201 207 222 234 299 333 351 402 414 481 598 603 621 666 702 851 871 897 962 999 1206 1242 1443 1541 1702 1742 1794 1809 1998 2479 2553 2613 2691 2886 3082 3618 4329 4623 4958 5106 5226 5382 7437 7659 7839 8073 8658 9246 11063 12987 13869 14874 15318 15678 16146 20033 22126 22311 22977 23517 25974 27738 32227 33189 40066 41607 44622 45954 47034 57017 60099 64454 66378 66933 83214 96681 99567 114034 120198 133866 171051 180297 193362 199134 290043 298701 342102 360594 513153 540891 580086 597402 741221 870129 1026306 1081782 1482442 1539459 1740258 2223663 3078918 4447326 6670989 13341978 20012967 40025934