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40009152 = 2631911091
BaseRepresentation
bin1001100010011…
…1110111000000
32210021200020110
42120213313000
540220243102
63545311320
7664033521
oct230476700
983250213
1040009152
1120647517
1211495540
13839aa71
145456848
1537a486c
hex2627dc0

40009152 has 56 divisors (see below), whose sum is σ = 106509312. Its totient is φ = 13254400.

The previous prime is 40009147. The next prime is 40009159. The reversal of 40009152 is 25190004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40009159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36127 + ... + 37217.

It is an arithmetic number, because the mean of its divisors is an integer number (1901952).

Almost surely, 240009152 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 40009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254656).

40009152 is an abundant number, since it is smaller than the sum of its proper divisors (66500160).

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

40009152 is a wasteful number, since it uses less digits than its factorization.

40009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 40009152 is about 6325.2788080843. The cubic root of 40009152 is about 342.0212701794.

Adding to 40009152 its reverse (25190004), we get a palindrome (65199156).

The spelling of 40009152 in words is "forty million, nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 573 764 1091 1146 1528 2182 2292 3056 3273 4364 4584 6112 6546 8728 9168 12224 13092 17456 18336 26184 34912 36672 52368 69824 104736 208381 209472 416762 625143 833524 1250286 1667048 2500572 3334096 5001144 6668192 10002288 13336384 20004576 40009152