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85077894 = 231117191397
BaseRepresentation
bin1010001001000…
…10111110000110
312221002101221010
411010202332012
5133234443034
612235303050
72052102336
oct504427606
9187071833
1085077894
114402a310
12245aaa86
131481a765
14b4290c6
1577083e9
hex5122f86

85077894 has 64 divisors (see below), whose sum is σ = 198070272. Its totient is φ = 24076800.

The previous prime is 85077847. The next prime is 85077901. The reversal of 85077894 is 49877058.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214104 + ... + 214500.

It is an arithmetic number, because the mean of its divisors is an integer number (3094848).

Almost surely, 285077894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85077894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99035136).

85077894 is an abundant number, since it is smaller than the sum of its proper divisors (112992378).

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

85077894 is a wasteful number, since it uses less digits than its factorization.

85077894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 85077894 is about 9223.7678851975. The cubic root of 85077894 is about 439.8172347003.

The spelling of 85077894 in words is "eighty-five million, seventy-seven thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 191 374 382 397 561 573 794 1122 1146 1191 2101 2382 3247 4202 4367 6303 6494 6749 8734 9741 12606 13101 13498 19482 20247 26202 35717 40494 71434 74239 75827 107151 148478 151654 214302 222717 227481 445434 454962 834097 1289059 1668194 2502291 2578118 3867177 5004582 7734354 14179649 28359298 42538947 85077894