Search a number
-
+
4880432736 = 25342964927
BaseRepresentation
bin1001000101110010…
…10111111001100000
3110121010101200010000
410202321113321200
534443342321421
62124140340000
7231640664604
oct44271277140
913533350100
104880432736
112084971393
12b42544600
135ca15692a
14344259504
151d86d9226
hex122e57e60

4880432736 has 120 divisors (see below), whose sum is σ = 14848384320. Its totient is φ = 1570689792.

The previous prime is 4880432729. The next prime is 4880432737. The reversal of 4880432736 is 6372340884.

It is a junction number, because it is equal to n+sod(n) for n = 4880432691 and 4880432700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4880432737) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42705 + ... + 107631.

It is an arithmetic number, because the mean of its divisors is an integer number (123736536).

Almost surely, 24880432736 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 4880432736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424192160).

4880432736 is an abundant number, since it is smaller than the sum of its proper divisors (9967951584).

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

4880432736 is a wasteful number, since it uses less digits than its factorization.

4880432736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64978 (or 64961 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4880432736 is about 69860.0940165414. The cubic root of 4880432736 is about 1696.2353528555.

The spelling of 4880432736 in words is "four billion, eight hundred eighty million, four hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3132 4176 4698 6264 8352 9396 12528 18792 25056 37584 64927 75168 129854 194781 259708 389562 519416 584343 779124 1038832 1168686 1558248 1753029 1882883 2077664 2337372 3116496 3506058 3765766 4674744 5259087 5648649 6232992 7012116 7531532 9349488 10518174 11297298 14024232 15063064 16945947 18698976 21036348 22594596 28048464 30126128 33891894 42072696 45189192 50837841 56096928 60252256 67783788 84145392 90378384 101675682 135567576 152513523 168290784 180756768 203351364 271135152 305027046 406702728 542270304 610054092 813405456 1220108184 1626810912 2440216368 4880432736