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40389516 = 2231219
BaseRepresentation
bin1001101000010…
…0101110001100
32211000000000000
42122010232030
540314431031
64001404300
71000206456
oct232045614
984000000
1040389516
1120887272
1211639690
1384a1c2b
1455152d6
15382c3e6
hex2684b8c

40389516 has 78 divisors (see below), whose sum is σ = 111602540. Its totient is φ = 12754584.

The previous prime is 40389511. The next prime is 40389521. The reversal of 40389516 is 61598304.

It is an interprime number because it is at equal distance from previous prime (40389511) and next prime (40389521).

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

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (40389511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 2125755 + ... + 2125773.

Almost surely, 240389516 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 40389516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55801270).

40389516 is an abundant number, since it is smaller than the sum of its proper divisors (71213024).

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

40389516 is an frugal number, since it uses more digits than its factorization.

40389516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 40389516 is about 6355.2746596823. The cubic root of 40389516 is about 343.1017103246.

The spelling of 40389516 in words is "forty million, three hundred eighty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 729 972 1026 1458 1539 2052 2187 2916 3078 4374 4617 6156 6561 8748 9234 13122 13851 18468 19683 26244 27702 39366 41553 55404 59049 78732 83106 118098 124659 166212 177147 236196 249318 354294 373977 498636 531441 708588 747954 1062882 1121931 1495908 2125764 2243862 3365793 4487724 6731586 10097379 13463172 20194758 40389516