Search a number
-
+
83023192 = 2372373883
BaseRepresentation
bin1001111001011…
…01010101011000
312210020000102001
410330231111120
5132223220232
612123250344
72025454060
oct474552530
9183200361
1083023192
114295660a
12239799b4
131427b465
14b0523a0
15744e6e7
hex4f2d558

83023192 has 64 divisors (see below), whose sum is σ = 188398080. Its totient is φ = 33530112.

The previous prime is 83023183. The next prime is 83023231. The reversal of 83023192 is 29132038.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 83023192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93583 + ... + 94465.

It is an arithmetic number, because the mean of its divisors is an integer number (2943720).

Almost surely, 283023192 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 83023192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94199040).

83023192 is an abundant number, since it is smaller than the sum of its proper divisors (105374888).

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

83023192 is a wasteful number, since it uses less digits than its factorization.

83023192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 83023192 is about 9111.7063166017. The cubic root of 83023192 is about 436.2476919334.

The spelling of 83023192 in words is "eighty-three million, twenty-three thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 73 92 146 161 184 292 322 511 584 644 883 1022 1288 1679 1766 2044 3358 3532 4088 6181 6716 7064 11753 12362 13432 20309 23506 24724 40618 47012 49448 64459 81236 94024 128918 142163 162472 257836 284326 451213 515672 568652 902426 1137304 1482557 1804852 2965114 3609704 5930228 10377899 11860456 20755798 41511596 83023192