Search a number
-
+
80307552 = 25313229281
BaseRepresentation
bin1001100100101…
…10010101100000
312121010001020210
410302112111200
5131024320202
611545134120
71663413543
oct462262540
9177101223
1080307552
1141371286
1222a8a340
131383a380
14a94685a
1570b4c6c
hex4c96560

80307552 has 96 divisors (see below), whose sum is σ = 228826080. Its totient is φ = 24514560.

The previous prime is 80307533. The next prime is 80307571. The reversal of 80307552 is 25570308.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80307533) and next prime (80307571).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 285652 + ... + 285932.

It is an arithmetic number, because the mean of its divisors is an integer number (2383605).

Almost surely, 280307552 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 80307552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114413040).

80307552 is an abundant number, since it is smaller than the sum of its proper divisors (148518528).

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

80307552 is a wasteful number, since it uses less digits than its factorization.

80307552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 80307552 is about 8961.4480972664. The cubic root of 80307552 is about 431.4383991780.

The spelling of 80307552 in words is "eighty million, three hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 229 281 312 416 458 562 624 687 843 916 1124 1248 1374 1686 1832 2248 2748 2977 3372 3653 3664 4496 5496 5954 6744 7306 7328 8931 8992 10959 10992 11908 13488 14612 17862 21918 21984 23816 26976 29224 35724 43836 47632 58448 64349 71448 87672 95264 116896 128698 142896 175344 193047 257396 285792 350688 386094 514792 772188 836537 1029584 1544376 1673074 2059168 2509611 3088752 3346148 5019222 6177504 6692296 10038444 13384592 20076888 26769184 40153776 80307552