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5747742 = 23271121329
BaseRepresentation
bin10101111011010000011110
3101211000102100
4111323100132
52432411432
6323105530
766566160
oct25732036
911730370
105747742
113276400
121b122a6
131263240
14a98930
1578807c
hex57b41e

5747742 has 144 divisors (see below), whose sum is σ = 17428320. Its totient is φ = 1330560.

The previous prime is 5747737. The next prime is 5747743. The reversal of 5747742 is 2477475.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5747697 and 5747706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5747743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198184 + ... + 198212.

It is an arithmetic number, because the mean of its divisors is an integer number (121030).

Almost surely, 25747742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5747742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714160).

5747742 is an abundant number, since it is smaller than the sum of its proper divisors (11680578).

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

5747742 is a wasteful number, since it uses less digits than its factorization.

5747742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 5747742 is about 2397.4448898776. Note that the first 3 decimals coincide. The cubic root of 5747742 is about 179.1289396918.

It can be divided in two parts, 5 and 747742, that added together give a palindrome (747747).

The spelling of 5747742 in words is "five million, seven hundred forty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 29 33 39 42 58 63 66 77 78 87 91 99 117 121 126 143 154 174 182 198 203 231 234 242 261 273 286 319 363 377 406 429 462 522 546 609 638 693 726 754 819 847 858 957 1001 1089 1131 1218 1287 1386 1573 1638 1694 1827 1914 2002 2178 2233 2262 2541 2574 2639 2871 3003 3146 3393 3509 3654 4147 4466 4719 5082 5278 5742 6006 6699 6786 7018 7623 7917 8294 9009 9438 10527 11011 12441 13398 14157 15246 15834 18018 20097 21054 22022 23751 24563 24882 28314 29029 31581 33033 37323 40194 45617 47502 49126 58058 63162 66066 73689 74646 87087 91234 99099 136851 147378 174174 198198 221067 261261 273702 319319 410553 442134 522522 638638 821106 957957 1915914 2873871 5747742