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80290848 = 25311139547
BaseRepresentation
bin1001100100100…
…10010000100000
312121002012100010
410302102100200
5131023301343
611544524520
71663314051
oct462222040
9177065303
1080290848
114135a780
1222a80740
13138328a1
14a940728
1570aed33
hex4c92420

80290848 has 96 divisors (see below), whose sum is σ = 232001280. Its totient is φ = 24111360.

The previous prime is 80290841. The next prime is 80290849. The reversal of 80290848 is 84809208.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (80290841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146511 + ... + 147057.

It is an arithmetic number, because the mean of its divisors is an integer number (2416680).

Almost surely, 280290848 is an apocalyptic number.

80290848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80290848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116000640).

80290848 is an abundant number, since it is smaller than the sum of its proper divisors (151710432).

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

80290848 is a wasteful number, since it uses less digits than its factorization.

80290848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 80290848 is about 8960.5160565673. The cubic root of 80290848 is about 431.4084839892.

The spelling of 80290848 in words is "eighty million, two hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 139 176 264 278 352 417 528 547 556 834 1056 1094 1112 1529 1641 1668 2188 2224 3058 3282 3336 4376 4448 4587 6017 6116 6564 6672 8752 9174 12034 12232 13128 13344 17504 18051 18348 24068 24464 26256 36102 36696 48136 48928 52512 72204 73392 76033 96272 144408 146784 152066 192544 228099 288816 304132 456198 577632 608264 836363 912396 1216528 1672726 1824792 2433056 2509089 3345452 3649584 5018178 6690904 7299168 10036356 13381808 20072712 26763616 40145424 80290848