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1004253444 = 2233171493671
BaseRepresentation
bin111011110110111…
…011000100000100
32120222200100202000
4323312323010010
54024042102234
6243352345300
733613004415
oct7366730404
92528610660
101004253444
11475969527
122403a5230
1313009920c
149753780c
155d271899
hex3bdbb104

1004253444 has 96 divisors (see below), whose sum is σ = 2776032000. Its totient is φ = 312860160.

The previous prime is 1004253421. The next prime is 1004253449. The reversal of 1004253444 is 4443524001.

It is a happy number.

It is a super-2 number, since 2×10042534442 = 2017049959571722272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1004253449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271729 + ... + 275399.

It is an arithmetic number, because the mean of its divisors is an integer number (28917000).

Almost surely, 21004253444 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 1004253444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388016000).

1004253444 is an abundant number, since it is smaller than the sum of its proper divisors (1771778556).

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

1004253444 is a wasteful number, since it uses less digits than its factorization.

1004253444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1004253444 is about 31689.9580940083. The cubic root of 1004253444 is about 1001.4158092050.

Adding to 1004253444 its reverse (4443524001), we get a palindrome (5447777445).

The spelling of 1004253444 in words is "one billion, four million, two hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 149 153 204 298 306 447 459 596 612 894 918 1341 1788 1836 2533 2682 3671 4023 5066 5364 7342 7599 8046 10132 11013 14684 15198 16092 22026 22797 30396 33039 44052 45594 62407 66078 68391 91188 99117 124814 132156 136782 187221 198234 249628 273564 374442 396468 546979 561663 748884 1093958 1123326 1640937 1684989 2187916 2246652 3281874 3369978 4922811 6563748 6739956 9298643 9845622 14768433 18597286 19691244 27895929 29536866 37194572 55791858 59073732 83687787 111583716 167375574 251063361 334751148 502126722 1004253444