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40381392 = 2431724171
BaseRepresentation
bin1001101000001…
…0101111010000
32210222120212010
42122002233100
540314201032
64001302520
71000144002
oct232025720
983876763
1040381392
1120881157
1211634a40
13849b31c
145512372
153829ccc
hex2682bd0

40381392 has 120 divisors (see below), whose sum is σ = 115117632. Its totient is φ = 12185600.

The previous prime is 40381387. The next prime is 40381417. The reversal of 40381392 is 29318304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568717 + ... + 568787.

Almost surely, 240381392 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 40381392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558816).

40381392 is an abundant number, since it is smaller than the sum of its proper divisors (74736240).

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

40381392 is a wasteful number, since it uses less digits than its factorization.

40381392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40381392 is about 6354.6354734162. The cubic root of 40381392 is about 343.0787048067.

Adding to 40381392 its reverse (29318304), we get a palindrome (69699696).

The spelling of 40381392 in words is "forty million, three hundred eighty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 71 82 102 123 136 142 164 204 213 246 272 284 289 328 408 426 492 568 578 656 697 816 852 867 984 1136 1156 1207 1394 1704 1734 1968 2091 2312 2414 2788 2911 3408 3468 3621 4182 4624 4828 5576 5822 6936 7242 8364 8733 9656 11152 11644 11849 13872 14484 16728 17466 19312 20519 23288 23698 28968 33456 34932 35547 41038 46576 47396 49487 57936 61557 69864 71094 82076 94792 98974 123114 139728 142188 148461 164152 189584 197948 246228 284376 296922 328304 395896 492456 568752 593844 791792 841279 984912 1187688 1682558 2375376 2523837 3365116 5047674 6730232 10095348 13460464 20190696 40381392