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2493828 = 223443179
BaseRepresentation
bin1001100000110110000100
311200200220000
421200312010
51114300303
6125241300
730124431
oct11406604
94620800
102493828
111453717
12a03230
1369414c
1448cb88
15343da3
hex260d84

2493828 has 60 divisors (see below), whose sum is σ = 6708240. Its totient is φ = 807408.

The previous prime is 2493817. The next prime is 2493833. The reversal of 2493828 is 8283942.

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

It is a d-powerful number, because it can be written as 25 + 49 + 93 + 37 + 83 + 217 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 2493792 and 2493801.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13843 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (111804).

22493828 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 2493828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354120).

2493828 is an abundant number, since it is smaller than the sum of its proper divisors (4214412).

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

2493828 is a wasteful number, since it uses less digits than its factorization.

2493828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

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

The square root of 2493828 is about 1579.1858661981. The cubic root of 2493828 is about 135.6090995538.

It can be divided in two parts, 2493 and 828, that added together give a triangular number (3321 = T81).

The spelling of 2493828 in words is "two million, four hundred ninety-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 179 258 324 358 387 516 537 716 774 1074 1161 1548 1611 2148 2322 3222 3483 4644 4833 6444 6966 7697 9666 13932 14499 15394 19332 23091 28998 30788 46182 57996 69273 92364 138546 207819 277092 415638 623457 831276 1246914 2493828