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40469632 = 27731247
BaseRepresentation
bin1001101001100…
…0010010000000
32211011001220021
42122120102000
540330012012
64003223224
71000662160
oct232302200
984131807
1040469632
1120931485
1211677b14
1384cc538
1455365a0
153846007
hex2698480

40469632 has 96 divisors (see below), whose sum is σ = 97234560. Its totient is φ = 16427520.

The previous prime is 40469623. The next prime is 40469633. The reversal of 40469632 is 23696404.

It is a super-2 number, since 2×404696322 = 3275582228430848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40469633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 861033 + ... + 861079.

It is an arithmetic number, because the mean of its divisors is an integer number (1012860).

Almost surely, 240469632 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 40469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48617280).

40469632 is an abundant number, since it is smaller than the sum of its proper divisors (56764928).

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

40469632 is an equidigital number, since it uses as much as digits as its factorization.

40469632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 40469632 is about 6361.5746478368. The cubic root of 40469632 is about 343.3284175206.

The spelling of 40469632 in words is "forty million, four hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 47 56 62 64 94 112 124 128 188 217 224 248 329 376 434 448 496 658 752 868 896 961 992 1316 1457 1504 1736 1922 1984 2632 2914 3008 3472 3844 3968 5264 5828 6016 6727 6944 7688 10199 10528 11656 13454 13888 15376 20398 21056 23312 26908 27776 30752 40796 42112 45167 46624 53816 61504 81592 90334 93248 107632 123008 163184 180668 186496 215264 316169 326368 361336 430528 632338 652736 722672 861056 1264676 1305472 1445344 2529352 2890688 5058704 5781376 10117408 20234816 40469632