Search a number
-
+
40099644 = 2233135
BaseRepresentation
bin1001100011110…
…1111100111100
32210110021101000
42120331330330
540231142034
63551250300
7664561404
oct230757474
983407330
1040099644
11206a9502
1211519990
138400000
14547b804
1537c1599
hex263df3c

40099644 has 72 divisors (see below), whose sum is σ = 112625520. Its totient is φ = 12338352.

The previous prime is 40099643. The next prime is 40099669. The reversal of 40099644 is 44699004.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40099644 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 9 + 644 = 666.

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 40099599 and 40099608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40099643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3084582 + ... + 3084594.

Almost surely, 240099644 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 40099644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56312760).

40099644 is an abundant number, since it is smaller than the sum of its proper divisors (72525876).

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

40099644 is an frugal number, since it uses more digits than its factorization.

40099644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40099644 is about 6332.4279703760. The cubic root of 40099644 is about 342.2789352578.

The spelling of 40099644 in words is "forty million, ninety-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 2197 3042 4394 4563 6084 6591 8788 9126 13182 18252 19773 26364 28561 39546 57122 59319 79092 85683 114244 118638 171366 237276 257049 342732 371293 514098 742586 771147 1028196 1113879 1485172 1542294 2227758 3084588 3341637 4455516 6683274 10024911 13366548 20049822 40099644