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80835552 = 25327101397
BaseRepresentation
bin1001101000101…
…11001111100000
312122002212112100
410310113033200
5131143214202
612004330400
72001043110
oct464271740
9178085470
1080835552
11416a1a46
12230a3a00
13139937b5
14aa43040
15716b41c
hex4d173e0

80835552 has 144 divisors (see below), whose sum is σ = 265984992. Its totient is φ = 22809600.

The previous prime is 80835511. The next prime is 80835607. The reversal of 80835552 is 25553808.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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, 203418 + ... + 203814.

It is an arithmetic number, because the mean of its divisors is an integer number (1847118).

Almost surely, 280835552 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 80835552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132992496).

80835552 is an abundant number, since it is smaller than the sum of its proper divisors (185149440).

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

80835552 is a wasteful number, since it uses less digits than its factorization.

80835552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 80835552 is about 8990.8593582594. The cubic root of 80835552 is about 432.3818640001.

The spelling of 80835552 in words is "eighty million, eight hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 288 303 336 397 404 504 606 672 707 794 808 909 1008 1191 1212 1414 1588 1616 1818 2016 2121 2382 2424 2779 2828 3176 3232 3573 3636 4242 4764 4848 5558 5656 6352 6363 7146 7272 8337 8484 9528 9696 11116 11312 12704 12726 14292 14544 16674 16968 19056 22232 22624 25011 25452 28584 29088 33348 33936 38112 40097 44464 50022 50904 57168 66696 67872 80194 88928 100044 101808 114336 120291 133392 160388 200088 203616 240582 266784 280679 320776 360873 400176 481164 561358 641552 721746 800352 842037 962328 1122716 1283104 1443492 1684074 1924656 2245432 2526111 2886984 3368148 3849312 4490864 5052222 5773968 6736296 8981728 10104444 11547936 13472592 20208888 26945184 40417776 80835552