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80772066 = 23417139211
BaseRepresentation
bin1001101000001…
…11101111100010
312121222122110000
410310013233202
5131134201231
612003120430
72000360034
oct464075742
9177878400
1080772066
1141659281
1223073116
131397092b
14aa27c54
1571576e6
hex4d07be2

80772066 has 80 divisors (see below), whose sum is σ = 193929120. Its totient is φ = 25038720.

The previous prime is 80772037. The next prime is 80772071. The reversal of 80772066 is 66027708.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 80772066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382701 + ... + 382911.

It is an arithmetic number, because the mean of its divisors is an integer number (2424114).

Almost surely, 280772066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80772066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96964560).

80772066 is an abundant number, since it is smaller than the sum of its proper divisors (113157054).

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

80772066 is a wasteful number, since it uses less digits than its factorization.

80772066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 80772066 is about 8987.3280790233. The cubic root of 80772066 is about 432.2686407805.

The spelling of 80772066 in words is "eighty million, seven hundred seventy-two thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 139 153 162 211 278 306 417 422 459 633 834 918 1251 1266 1377 1899 2363 2502 2754 3587 3753 3798 4726 5697 7089 7174 7506 10761 11259 11394 14178 17091 21267 21522 22518 29329 32283 34182 42534 58658 63801 64566 87987 96849 127602 175974 191403 193698 263961 290547 382806 498593 527922 581094 791883 997186 1495779 1583766 2375649 2991558 4487337 4751298 8974674 13462011 26924022 40386033 80772066