Search a number
-
+
40044564 = 2233732347
BaseRepresentation
bin1001100011000…
…0100000010100
32210100110211000
42120300200110
540222411224
63550143300
7664242000
oct230604024
983313730
1040044564
112067108a
12114b1b30
1383b0c11
145465700
1537b00c9
hex2630814

40044564 has 192 divisors, whose sum is σ = 129024000. Its totient is φ = 10711008.

The previous prime is 40044559. The next prime is 40044593. The reversal of 40044564 is 46544004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 851989 + ... + 852035.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 240044564 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 40044564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512000).

40044564 is an abundant number, since it is smaller than the sum of its proper divisors (88979436).

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

40044564 is a wasteful number, since it uses less digits than its factorization.

40044564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40044564 is about 6328.0774331546. The cubic root of 40044564 is about 342.1221478123.

Adding to 40044564 its reverse (46544004), we get a palindrome (86588568).

The spelling of 40044564 in words is "forty million, forty-four thousand, five hundred sixty-four".