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40705038 = 233111729139
BaseRepresentation
bin1001101101000…
…1110000001110
32211121000211000
42123101300032
540410030123
64012241130
71002662403
oct233216016
984530730
1040705038
1120a82330
12117701a6
13858272a
1455982aa
153890b43
hex26d1c0e

40705038 has 128 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 11128320.

The previous prime is 40705037. The next prime is 40705043. The reversal of 40705038 is 83050704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40705033) 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, 292773 + ... + 292911.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 240705038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40705038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

40705038 is an abundant number, since it is smaller than the sum of its proper divisors (68158962).

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

40705038 is a wasteful number, since it uses less digits than its factorization.

40705038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40705038 is about 6380.0499998041. The cubic root of 40705038 is about 343.9928281811.

It can be divided in two parts, 40 and 705038, that added together give a triangular number (705078 = T1187).

The spelling of 40705038 in words is "forty million, seven hundred five thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 27 29 33 34 51 54 58 66 87 99 102 139 153 174 187 198 261 278 297 306 319 374 417 459 493 522 561 594 638 783 834 918 957 986 1122 1251 1479 1529 1566 1683 1914 2363 2502 2871 2958 3058 3366 3753 4031 4437 4587 4726 5049 5423 5742 7089 7506 8062 8613 8874 9174 10098 10846 12093 13311 13761 14178 16269 17226 21267 24186 25993 26622 27522 32538 36279 41283 42534 44341 48807 51986 63801 68527 72558 77979 82566 88682 97614 108837 127602 133023 137054 146421 155958 205581 217674 233937 266046 292842 399069 411162 467874 616743 701811 753797 798138 1197207 1233486 1403622 1507594 1850229 2261391 2394414 3700458 4522782 6784173 13568346 20352519 40705038