Search a number
-
+
72240408 = 23321079377
BaseRepresentation
bin1000100111001…
…00110100011000
312000221012012200
410103210310120
5121443143113
611100210200
71535014302
oct423446430
9160835180
1072240408
1137861319
1220239960
1311c74506
149846972
15651e873
hex44e4d18

72240408 has 48 divisors (see below), whose sum is σ = 197500680. Its totient is φ = 23852544.

The previous prime is 72240403. The next prime is 72240433. The reversal of 72240408 is 80404227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72240403) 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 11 ways as a sum of consecutive naturals, for example, 3016 + ... + 12392.

Almost surely, 272240408 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 72240408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98750340).

72240408 is an abundant number, since it is smaller than the sum of its proper divisors (125260272).

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

72240408 is a wasteful number, since it uses less digits than its factorization.

72240408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 72240408 is about 8499.4357459775. The cubic root of 72240408 is about 416.4792768746.

The spelling of 72240408 in words is "seventy-two million, two hundred forty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 9377 18754 28131 37508 56262 75016 84393 112524 168786 225048 337572 675144 1003339 2006678 3010017 4013356 6020034 8026712 9030051 12040068 18060102 24080136 36120204 72240408