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40423032 = 233213192273
BaseRepresentation
bin1001101000110…
…0111001111000
32211001200222100
42122030321320
540322014112
64002223400
71000406256
oct232147170
984050870
1040423032
11208aa471
1211654b60
1384b4270
1455235d6
1538372dc
hex268ce78

40423032 has 96 divisors (see below), whose sum is σ = 124160400. Its totient is φ = 11778048.

The previous prime is 40423001. The next prime is 40423057. The reversal of 40423032 is 23032404.

40423032 is a `hidden beast` number, since 404 + 230 + 32 = 666.

40423032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40422996 and 40423014.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16648 + ... + 18920.

Almost surely, 240423032 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 40423032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62080200).

40423032 is an abundant number, since it is smaller than the sum of its proper divisors (83737368).

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

40423032 is a wasteful number, since it uses less digits than its factorization.

40423032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 40423032 is about 6357.9109776718. The cubic root of 40423032 is about 343.1965882263.

Adding to 40423032 its reverse (23032404), we get a palindrome (63455436).

It can be divided in two parts, 404 and 23032, that added together give a triangular number (23436 = T216).

The spelling of 40423032 in words is "forty million, four hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2273 2964 4446 4546 5928 6819 8892 9092 13638 17784 18184 20457 27276 29549 40914 43187 54552 59098 81828 86374 88647 118196 129561 163656 172748 177294 236392 259122 265941 345496 354588 388683 518244 531882 561431 709176 777366 1036488 1063764 1122862 1554732 1684293 2127528 2245724 3109464 3368586 4491448 5052879 6737172 10105758 13474344 20211516 40423032