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80627742 = 232132371211
BaseRepresentation
bin1001100111001…
…00100000011110
312121201022110200
410303210200132
5131120041432
612000044330
71666216206
oct463444036
9177638420
1080627742
114156a8a8
12230036a6
1313920030
14a9cb406
157129a7c
hex4ce481e

80627742 has 96 divisors (see below), whose sum is σ = 200019456. Its totient is φ = 23284800.

The previous prime is 80627741. The next prime is 80627747. The reversal of 80627742 is 24772608.

It is a junction number, because it is equal to n+sod(n) for n = 80627697 and 80627706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80627741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382017 + ... + 382227.

It is an arithmetic number, because the mean of its divisors is an integer number (2083536).

Almost surely, 280627742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80627742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100009728).

80627742 is an abundant number, since it is smaller than the sum of its proper divisors (119391714).

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

80627742 is a wasteful number, since it uses less digits than its factorization.

80627742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 80627742 is about 8979.2951839217. The cubic root of 80627742 is about 432.0110272391.

The spelling of 80627742 in words is "eighty million, six hundred twenty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 71 78 117 138 142 207 211 213 234 299 414 422 426 598 633 639 897 923 1266 1278 1633 1794 1846 1899 2691 2743 2769 3266 3798 4853 4899 5382 5486 5538 8229 8307 9706 9798 14559 14697 14981 16458 16614 21229 24687 29118 29394 29962 42458 43677 44943 49374 63089 63687 87354 89886 126178 127374 134829 189267 191061 194753 269658 344563 378534 382122 389506 567801 584259 689126 1033689 1135602 1168518 1752777 2067378 3101067 3505554 4479319 6202134 8958638 13437957 26875914 40313871 80627742