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826860132 = 223276748973
BaseRepresentation
bin110001010010001…
…110001001100100
32010121212211212100
4301102032021210
53143134011012
6214014252100
726330123640
oct6122161144
92117784770
10826860132
1139481728a
121b0ab7030
131023c8967
147bb5bc20
154c8d08dc
hex3148e264

826860132 has 72 divisors (see below), whose sum is σ = 2424408896. Its totient is φ = 232714944.

The previous prime is 826860119. The next prime is 826860137. The reversal of 826860132 is 231068628.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (826860137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7603 + ... + 41370.

Almost surely, 2826860132 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 826860132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212204448).

826860132 is an abundant number, since it is smaller than the sum of its proper divisors (1597548764).

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

826860132 is a wasteful number, since it uses less digits than its factorization.

826860132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49057 (or 49052 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 826860132 is about 28755.1757428119. The cubic root of 826860132 is about 938.5930861848.

The spelling of 826860132 in words is "eight hundred twenty-six million, eight hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2412 2814 4221 5628 8442 16884 48973 97946 146919 195892 293838 342811 440757 587676 685622 881514 1028433 1371244 1763028 2056866 3085299 3281191 4113732 6170598 6562382 9843573 12341196 13124764 19687146 22968337 29530719 39374292 45936674 59061438 68905011 91873348 118122876 137810022 206715033 275620044 413430066 826860132