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80638416 = 2434431447
BaseRepresentation
bin1001100111001…
…11000111010000
312121201212010000
410303213013100
5131120412131
612000210000
71666262265
oct463470720
9177655100
1080638416
1141577921
1223009900
1313924b51
14a9d126c
15712cce6
hex4ce71d0

80638416 has 100 divisors (see below), whose sum is σ = 238983712. Its totient is φ = 26236224.

The previous prime is 80638351. The next prime is 80638433. The reversal of 80638416 is 61483608.

It is a happy number.

80638416 is a `hidden beast` number, since 8 + 0 + 638 + 4 + 16 = 666.

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 19 ways as a sum of consecutive naturals, for example, 55005 + ... + 56451.

Almost surely, 280638416 is an apocalyptic number.

80638416 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80638416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119491856).

80638416 is an abundant number, since it is smaller than the sum of its proper divisors (158345296).

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

80638416 is a wasteful number, since it uses less digits than its factorization.

80638416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80638416 is about 8979.8895316145. The cubic root of 80638416 is about 432.0300904966.

The spelling of 80638416 in words is "eighty million, six hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1447 1548 2064 2322 2894 3096 3483 4341 4644 5788 6192 6966 8682 9288 11576 13023 13932 17364 18576 23152 26046 27864 34728 39069 52092 55728 62221 69456 78138 104184 117207 124442 156276 186663 208368 234414 248884 312552 373326 468828 497768 559989 625104 746652 937656 995536 1119978 1493304 1679967 1875312 2239956 2986608 3359934 4479912 5039901 6719868 8959824 10079802 13439736 20159604 26879472 40319208 80638416