Search a number
-
+
80506368 = 293217471
BaseRepresentation
bin1001100110001…
…10111000000000
312121111010222100
410303012320000
5131102200433
611553310400
71665202305
oct463067000
9177433870
1080506368
1141497698
1222b65400
13138a9a07
14a9990ac
157103b13
hex4cc6e00

80506368 has 60 divisors (see below), whose sum is σ = 232360128. Its totient is φ = 26833920.

The previous prime is 80506357. The next prime is 80506369. The reversal of 80506368 is 86360508.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80506369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4128 + ... + 13343.

Almost surely, 280506368 is an apocalyptic number.

It is an amenable number.

80506368 is an abundant number, since it is smaller than the sum of its proper divisors (151853760).

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

80506368 is a wasteful number, since it uses less digits than its factorization.

80506368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17495 (or 17476 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 80506368 is about 8972.5340902111. The cubic root of 80506368 is about 431.7941406013.

The spelling of 80506368 in words is "eighty million, five hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 17471 34942 52413 69884 104826 139768 157239 209652 279536 314478 419304 559072 628956 838608 1118144 1257912 1677216 2236288 2515824 3354432 4472576 5031648 6708864 8945152 10063296 13417728 20126592 26835456 40253184 80506368