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40269744 = 243331297
BaseRepresentation
bin1001100110011…
…1011110110000
32210202220201000
42121213132300
540302112434
63555042000
7666200334
oct231473660
983686630
1040269744
1120805289
12115a0300
13845c568
1454c37c4
153806b99
hex26677b0

40269744 has 120 divisors (see below), whose sum is σ = 120669360. Its totient is φ = 12856320.

The previous prime is 40269743. The next prime is 40269763. The reversal of 40269744 is 44796204.

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

It is a junction number, because it is equal to n+sod(n) for n = 40269699 and 40269708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40269743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415104 + ... + 415200.

It is an arithmetic number, because the mean of its divisors is an integer number (1005578).

Almost surely, 240269744 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 40269744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60334680).

40269744 is an abundant number, since it is smaller than the sum of its proper divisors (80399616).

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

40269744 is a wasteful number, since it uses less digits than its factorization.

40269744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 40269744 is about 6345.8446246343. The cubic root of 40269744 is about 342.7622272977.

The spelling of 40269744 in words is "forty million, two hundred sixty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 97 108 124 144 186 194 216 248 279 291 372 388 432 496 558 582 744 776 837 873 961 1116 1164 1488 1552 1674 1746 1922 2232 2328 2619 2883 3007 3348 3492 3844 4464 4656 5238 5766 6014 6696 6984 7688 8649 9021 10476 11532 12028 13392 13968 15376 17298 18042 20952 23064 24056 25947 27063 34596 36084 41904 46128 48112 51894 54126 69192 72168 81189 93217 103788 108252 138384 144336 162378 186434 207576 216504 279651 324756 372868 415152 433008 559302 649512 745736 838953 1118604 1299024 1491472 1677906 2237208 2516859 3355812 4474416 5033718 6711624 10067436 13423248 20134872 40269744