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80152436 = 22721383379
BaseRepresentation
bin1001100011100…
…00011101110100
312120211011110202
410301300131310
5131004334221
611541540032
71662166400
oct461603564
9176734422
1080152436
1141275791
1222a14618
13137b48a0
14a906100
157083d0b
hex4c70774

80152436 has 72 divisors (see below), whose sum is σ = 178305120. Its totient is φ = 31243968.

The previous prime is 80152409. The next prime is 80152439. The reversal of 80152436 is 63425108.

It is a junction number, because it is equal to n+sod(n) for n = 80152399 and 80152408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80152439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211295 + ... + 211673.

It is an arithmetic number, because the mean of its divisors is an integer number (2476460).

Almost surely, 280152436 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 80152436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89152560).

80152436 is an abundant number, since it is smaller than the sum of its proper divisors (98152684).

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

80152436 is a wasteful number, since it uses less digits than its factorization.

80152436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 80152436 is about 8952.7892860270. The cubic root of 80152436 is about 431.1604422023.

The spelling of 80152436 in words is "eighty million, one hundred fifty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 83 91 98 166 182 196 332 364 379 581 637 758 1079 1162 1274 1516 2158 2324 2548 2653 4067 4316 4927 5306 7553 8134 9854 10612 15106 16268 18571 19708 30212 31457 34489 37142 52871 62914 68978 74284 105742 125828 137956 211484 220199 241423 408941 440398 482846 817882 880796 965692 1541393 1635764 2862587 3082786 5725174 6165572 11450348 20038109 40076218 80152436