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40744431 = 33721323103
BaseRepresentation
bin1001101101101…
…1010111101111
32211200000212000
42123123113233
540412310211
64013143343
71003215300
oct233332757
984600760
1040744431
1120aa9992
121178ab53
138597640
1455a87a7
15389c656
hex26db5ef

40744431 has 96 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 20357568.

The previous prime is 40744409. The next prime is 40744453. The reversal of 40744431 is 13444704.

It is an interprime number because it is at equal distance from previous prime (40744409) and next prime (40744453).

It is not a de Polignac number, because 40744431 - 213 = 40736239 is a prime.

It is a super-2 number, since 2×407444312 = 3320217315027522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40744395 and 40744404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40744031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395526 + ... + 395628.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 240744431 is an apocalyptic number.

40744431 is a deficient number, since it is larger than the sum of its proper divisors (38927889).

40744431 is a wasteful number, since it uses less digits than its factorization.

40744431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 40744431 is about 6383.1364547533. The cubic root of 40744431 is about 344.1037607267.

The spelling of 40744431 in words is "forty million, seven hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 23 27 39 49 63 69 91 103 117 147 161 189 207 273 299 309 351 441 483 621 637 721 819 897 927 1127 1323 1339 1449 1911 2093 2163 2369 2457 2691 2781 3381 4017 4347 5047 5733 6279 6489 7107 8073 9373 10143 12051 14651 15141 16583 17199 18837 19467 21321 28119 30429 30797 36153 43953 45423 49749 56511 63963 65611 84357 92391 116081 131859 136269 149247 196833 215579 253071 277173 348243 395577 447741 590499 646737 831519 1044729 1509053 1771497 1940211 3134187 4527159 5820633 13581477 40744431