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2042992 = 247172937
BaseRepresentation
bin111110010110001110000
310211210110101
413302301300
51010333432
6111442144
723236150
oct7626160
93753411
102042992
111175a26
12826354
13566b93
143b2760
152a54e7
hex1f2c70

2042992 has 80 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 774144.

The previous prime is 2042983. The next prime is 2043001. The reversal of 2042992 is 2992402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2042983) and next prime (2043001).

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 2042992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55198 + ... + 55234.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

22042992 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 2042992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

2042992 is an abundant number, since it is smaller than the sum of its proper divisors (3045968).

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

2042992 is a wasteful number, since it uses less digits than its factorization.

2042992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

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

The square root of 2042992 is about 1429.3327114427. The cubic root of 2042992 is about 126.8884878928. Note that the first 3 decimals are identical.

The spelling of 2042992 in words is "two million, forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 37 56 58 68 74 112 116 119 136 148 203 232 238 259 272 296 406 464 476 493 518 592 629 812 952 986 1036 1073 1258 1624 1904 1972 2072 2146 2516 3248 3451 3944 4144 4292 4403 5032 6902 7511 7888 8584 8806 10064 13804 15022 17168 17612 18241 27608 30044 35224 36482 55216 60088 70448 72964 120176 127687 145928 255374 291856 510748 1021496 2042992