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85133958 = 23713413803
BaseRepresentation
bin1010001001100…
…00101010000110
312221012020211120
411010300222012
5133243241313
612240414410
72052424650
oct504605206
9187166746
1085133958
1144068448
1224617406
131483a130
14b4416d0
157719d23
hex5130a86

85133958 has 64 divisors (see below), whose sum is σ = 214728192. Its totient is φ = 21899520.

The previous prime is 85133957. The next prime is 85133969. The reversal of 85133958 is 85933158.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85133957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20485 + ... + 24287.

It is an arithmetic number, because the mean of its divisors is an integer number (3355128).

Almost surely, 285133958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85133958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107364096).

85133958 is an abundant number, since it is smaller than the sum of its proper divisors (129594234).

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

85133958 is a wasteful number, since it uses less digits than its factorization.

85133958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869.

The product of its digits is 129600, while the sum is 42.

The square root of 85133958 is about 9226.8064897883. The cubic root of 85133958 is about 439.9138226543.

The spelling of 85133958 in words is "eighty-five million, one hundred thirty-three thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 574 861 1066 1599 1722 3198 3731 3803 7462 7606 11193 11409 22386 22818 26621 49439 53242 79863 98878 148317 155923 159726 296634 311846 346073 467769 692146 935538 1038219 1091461 2026999 2076438 2182922 3274383 4053998 6080997 6548766 12161994 14188993 28377986 42566979 85133958