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81628152 = 23317593391
BaseRepresentation
bin1001101110110…
…00101111111000
312200121010202220
410313120233320
5131344100102
612033324040
72010553644
oct467305770
9180533686
1081628152
1142093491
1223406620
1313bb04a8
14ababc24
1572761bc
hex4dd8bf8

81628152 has 64 divisors (see below), whose sum is σ = 219801600. Its totient is φ = 25167360.

The previous prime is 81628139. The next prime is 81628153. The reversal of 81628152 is 25182618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81628153) 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, 22377 + ... + 25767.

It is an arithmetic number, because the mean of its divisors is an integer number (3434400).

Almost surely, 281628152 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 81628152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109900800).

81628152 is an abundant number, since it is smaller than the sum of its proper divisors (138173448).

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

81628152 is a wasteful number, since it uses less digits than its factorization.

81628152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3472 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 81628152 is about 9034.8299375251. The cubic root of 81628152 is about 433.7904514813.

The spelling of 81628152 in words is "eighty-one million, six hundred twenty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 354 408 472 708 1003 1416 2006 3009 3391 4012 6018 6782 8024 10173 12036 13564 20346 24072 27128 40692 57647 81384 115294 172941 200069 230588 345882 400138 461176 600207 691764 800276 1200414 1383528 1600552 2400828 3401173 4801656 6802346 10203519 13604692 20407038 27209384 40814076 81628152