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80919972 = 2235721699
BaseRepresentation
bin1001101001010…
…11110110100100
312122021011100000
410310223312210
5131203414342
612010221300
72001544200
oct464536644
9178234300
1080919972
114174a411
1223124830
13139c3053
14aa65b00
15718644c
hex4d2bda4

80919972 has 108 divisors (see below), whose sum is σ = 246901200. Its totient is φ = 23106384.

The previous prime is 80919953. The next prime is 80919973. The reversal of 80919972 is 27991908.

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (80919973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46779 + ... + 48477.

Almost surely, 280919972 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 80919972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123450600).

80919972 is an abundant number, since it is smaller than the sum of its proper divisors (165981228).

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

80919972 is a wasteful number, since it uses less digits than its factorization.

80919972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 80919972 is about 8995.5529012952. The cubic root of 80919972 is about 432.5323298808.

The spelling of 80919972 in words is "eighty million, nine hundred nineteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1699 1701 1764 2268 2646 3398 3402 3969 5097 5292 6796 6804 7938 10194 11893 11907 15291 15876 20388 23786 23814 30582 35679 45873 47572 47628 61164 71358 83251 91746 107037 137619 142716 166502 183492 214074 249753 275238 321111 333004 412857 428148 499506 550476 642222 749259 825714 963333 999012 1284444 1498518 1651428 1926666 2247777 2889999 2997036 3853332 4495554 5779998 6743331 8991108 11559996 13486662 20229993 26973324 40459986 80919972