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40349925 = 325271117137
BaseRepresentation
bin1001100111101…
…1000011100101
32210220222200200
42121323003211
540312144200
64000501113
7666653160
oct231730345
983828620
1040349925
112085a550
121161a799
138489bc5
145504ad7
153820800
hex267b0e5

40349925 has 144 divisors (see below), whose sum is σ = 96100992. Its totient is φ = 15667200.

The previous prime is 40349873. The next prime is 40349929. The reversal of 40349925 is 52994304.

It is not a de Polignac number, because 40349925 - 26 = 40349861 is a prime.

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 self number, because there is not a number n which added to its sum of digits gives 40349925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40349929) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 294457 + ... + 294593.

It is an arithmetic number, because the mean of its divisors is an integer number (667368).

Almost surely, 240349925 is an apocalyptic number.

40349925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40349925 is an abundant number, since it is smaller than the sum of its proper divisors (55751067).

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

40349925 is a wasteful number, since it uses less digits than its factorization.

40349925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 40349925 is about 6352.1590817611. The cubic root of 40349925 is about 342.9895675215.

The spelling of 40349925 in words is "forty million, three hundred forty-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 17 21 25 33 35 45 51 55 63 75 77 85 99 105 119 137 153 165 175 187 225 231 255 275 315 357 385 411 425 495 525 561 595 685 693 765 825 935 959 1071 1155 1233 1275 1309 1507 1575 1683 1785 1925 2055 2329 2475 2805 2877 2975 3425 3465 3825 3927 4521 4675 4795 5355 5775 6165 6545 6987 7535 8415 8631 8925 10275 10549 11645 11781 13563 14025 14385 16303 17325 19635 20961 22605 23975 25619 26775 30825 31647 32725 34935 37675 42075 43155 48909 52745 58225 58905 67815 71925 76857 81515 94941 98175 104805 113025 128095 146727 158235 174675 179333 215775 230571 244545 263725 294525 339075 384285 407575 474705 524025 537999 640475 733635 791175 896665 1152855 1222725 1613997 1921425 2373525 2689995 3668175 4483325 5764275 8069985 13449975 40349925