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2491992 = 233383139
BaseRepresentation
bin1001100000011001011000
311200121101000
421200121120
51114220432
6125225000
730116166
oct11403130
94617330
102491992
1114522a8
12a02160
13693369
1448c236
1534357c
hex260658

2491992 has 64 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 814752.

The previous prime is 2491967. The next prime is 2492003. The reversal of 2491992 is 2991942.

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

It is a nude number because it is divisible by every one of its digits.

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, 17859 + ... + 17997.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

22491992 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 2491992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2491992 is an abundant number, since it is smaller than the sum of its proper divisors (4564008).

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

2491992 is a wasteful number, since it uses less digits than its factorization.

2491992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 2491992 is about 1578.6044469721. The cubic root of 2491992 is about 135.5758121161.

Adding to 2491992 its sum of digits (36), we get a triangular number (2492028 = T2232).

The spelling of 2491992 in words is "two million, four hundred ninety-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 139 166 216 249 278 332 417 498 556 664 747 834 996 1112 1251 1494 1668 1992 2241 2502 2988 3336 3753 4482 5004 5976 7506 8964 10008 11537 15012 17928 23074 30024 34611 46148 69222 92296 103833 138444 207666 276888 311499 415332 622998 830664 1245996 2491992