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80919936 = 2732193697
BaseRepresentation
bin1001101001010…
…11110110000000
312122021011021200
410310223312000
5131203414221
612010221200
72001544116
oct464536600
9178234250
1080919936
114174a389
1223124800
13139c3026
14aa65ab6
157186426
hex4d2bd80

80919936 has 96 divisors (see below), whose sum is σ = 245177400. Its totient is φ = 25546752.

The previous prime is 80919931. The next prime is 80919941. The reversal of 80919936 is 63991908.

It is an interprime number because it is at equal distance from previous prime (80919931) and next prime (80919941).

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

It is a junction number, because it is equal to n+sod(n) for n = 80919891 and 80919900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80919931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20040 + ... + 23736.

Almost surely, 280919936 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 80919936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122588700).

80919936 is an abundant number, since it is smaller than the sum of its proper divisors (164257464).

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

80919936 is a wasteful number, since it uses less digits than its factorization.

80919936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 80919936 is about 8995.5509003062. The cubic root of 80919936 is about 432.5322657385.

The spelling of 80919936 in words is "eighty million, nine hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 3697 5472 7296 7394 10944 11091 14788 21888 22182 29576 33273 44364 59152 66546 70243 88728 118304 133092 140486 177456 210729 236608 266184 280972 354912 421458 473216 532368 561944 632187 709824 842916 1064736 1123888 1264374 1419648 1685832 2129472 2247776 2528748 3371664 4258944 4495552 5057496 6743328 8991104 10114992 13486656 20229984 26973312 40459968 80919936