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80354144 = 2513419461
BaseRepresentation
bin1001100101000…
…01101101100000
312121012102011102
410302201231200
5131032313034
611550133532
71663666433
oct462415540
9177172142
1080354144
11413a3292
1222ab12a8
1313855640
14a95981a
1570c397e
hex4ca1b60

80354144 has 48 divisors (see below), whose sum is σ = 171143280. Its totient is φ = 36917760.

The previous prime is 80354129. The next prime is 80354149. The reversal of 80354144 is 44145308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80354149) 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 7 ways as a sum of consecutive naturals, for example, 174074 + ... + 174534.

It is an arithmetic number, because the mean of its divisors is an integer number (3565485).

Almost surely, 280354144 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 80354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85571640).

80354144 is an abundant number, since it is smaller than the sum of its proper divisors (90789136).

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

80354144 is a wasteful number, since it uses less digits than its factorization.

80354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 80354144 is about 8964.0473001876. The cubic root of 80354144 is about 431.5218188615.

The spelling of 80354144 in words is "eighty million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 419 461 838 922 1676 1844 3352 3688 5447 5993 6704 7376 10894 11986 13408 14752 21788 23972 43576 47944 87152 95888 174304 191776 193159 386318 772636 1545272 2511067 3090544 5022134 6181088 10044268 20088536 40177072 80354144