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2490752 = 27112961
BaseRepresentation
bin1001100000000110000000
311200112200002
421200012000
51114201002
6125215132
730112445
oct11400600
94615602
102490752
111451380
12a014a8
13692924
1448b9cc
15343002
hex260180

2490752 has 64 divisors (see below), whose sum is σ = 5691600. Its totient is φ = 1075200.

The previous prime is 2490743. The next prime is 2490769. The reversal of 2490752 is 2570942.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40802 + ... + 40862.

22490752 is an apocalyptic number.

2490752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845800).

2490752 is an abundant number, since it is smaller than the sum of its proper divisors (3200848).

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

2490752 is a wasteful number, since it uses less digits than its factorization.

2490752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2490752 is about 1578.2116461362. The cubic root of 2490752 is about 135.5533211532.

The spelling of 2490752 in words is "two million, four hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 61 64 88 116 122 128 176 232 244 319 352 464 488 638 671 704 928 976 1276 1342 1408 1769 1856 1952 2552 2684 3538 3712 3904 5104 5368 7076 7808 10208 10736 14152 19459 20416 21472 28304 38918 40832 42944 56608 77836 85888 113216 155672 226432 311344 622688 1245376 2490752