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85291480 = 23541131397
BaseRepresentation
bin1010001010101…
…11000111011000
312221111020220201
411011113013120
5133313311410
612244031544
72053652131
oct505270730
9187436821
1085291480
114416582a
12246925b4
1314893a41
14b482c88
15774b83a
hex51571d8

85291480 has 64 divisors (see below), whose sum is σ = 198586080. Its totient is φ = 32947200.

The previous prime is 85291477. The next prime is 85291483. The reversal of 85291480 is 8419258.

It is an interprime number because it is at equal distance from previous prime (85291477) and next prime (85291483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85291483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214642 + ... + 215038.

Almost surely, 285291480 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 85291480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99293040).

85291480 is an abundant number, since it is smaller than the sum of its proper divisors (113294600).

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

85291480 is a wasteful number, since it uses less digits than its factorization.

85291480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 85291480 is about 9235.3386510728. The cubic root of 85291480 is about 440.1849773205.

The spelling of 85291480 in words is "eighty-five million, two hundred ninety-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 131 164 205 262 328 397 410 524 655 794 820 1048 1310 1588 1640 1985 2620 3176 3970 5240 5371 7940 10742 15880 16277 21484 26855 32554 42968 52007 53710 65108 81385 104014 107420 130216 162770 208028 214840 260035 325540 416056 520070 651080 1040140 2080280 2132287 4264574 8529148 10661435 17058296 21322870 42645740 85291480