Search a number
-
+
40125432 = 23323157463
BaseRepresentation
bin1001100100010…
…0001111111000
32210111120202010
42121010033320
540233003212
63552005520
7665026524
oct231041770
983446663
1040125432
1120716916
12115308a0
13840b979
145486d84
1537c903c
hex26443f8

40125432 has 64 divisors (see below), whose sum is σ = 105569280. Its totient is φ = 12684672.

The previous prime is 40125419. The next prime is 40125469. The reversal of 40125432 is 23452104.

It is a super-2 number, since 2×401254322 = 3220100586373248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40125399 and 40125408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86433 + ... + 86895.

It is an arithmetic number, because the mean of its divisors is an integer number (1649520).

Almost surely, 240125432 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 40125432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52784640).

40125432 is an abundant number, since it is smaller than the sum of its proper divisors (65443848).

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

40125432 is a wasteful number, since it uses less digits than its factorization.

40125432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40125432 is about 6334.4638289282. The cubic root of 40125432 is about 342.3522924986.

Adding to 40125432 its reverse (23452104), we get a palindrome (63577536).

The spelling of 40125432 in words is "forty million, one hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 157 184 276 314 463 471 552 628 926 942 1256 1389 1852 1884 2778 3611 3704 3768 5556 7222 10649 10833 11112 14444 21298 21666 28888 31947 42596 43332 63894 72691 85192 86664 127788 145382 218073 255576 290764 436146 581528 872292 1671893 1744584 3343786 5015679 6687572 10031358 13375144 20062716 40125432