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1050531444 = 223453131467
BaseRepresentation
bin111110100111011…
…101011001110100
32201012202112020000
4332213131121310
54122414001234
6252124311300
735014240614
oct7647353164
92635675200
101050531444
11499aa7906
122539a2530
13139850451
149d742a44
1562363899
hex3e9dd674

1050531444 has 120 divisors (see below), whose sum is σ = 2825510688. Its totient is φ = 340217280.

The previous prime is 1050531389. The next prime is 1050531487. The reversal of 1050531444 is 4441350501.

It is a happy number.

1050531444 is a `hidden beast` number, since 10 + 505 + 3 + 144 + 4 = 666.

It is a super-2 number, since 2×10505314442 = 2207232629665450272, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249299 + ... + 2249765.

Almost surely, 21050531444 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 1050531444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412755344).

1050531444 is an abundant number, since it is smaller than the sum of its proper divisors (1774979244).

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

1050531444 is a wasteful number, since it uses less digits than its factorization.

1050531444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1050531444 is about 32411.9028136270. The cubic root of 1050531444 is about 1016.5678065418.

Adding to 1050531444 its reverse (4441350501), we get a palindrome (5491881945).

The spelling of 1050531444 in words is "one billion, fifty million, five hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 131 159 162 212 262 318 324 393 467 477 524 636 786 934 954 1179 1401 1431 1572 1868 1908 2358 2802 2862 3537 4203 4293 4716 5604 5724 6943 7074 8406 8586 10611 12609 13886 14148 16812 17172 20829 21222 24751 25218 27772 37827 41658 42444 49502 50436 61177 62487 74253 75654 83316 99004 122354 124974 148506 151308 183531 187461 222759 244708 249948 297012 367062 374922 445518 550593 562383 668277 734124 749844 891036 1101186 1124766 1336554 1651779 2004831 2202372 2249532 2673108 3242381 3303558 4009662 4955337 6484762 6607116 8019324 9727143 9910674 12969524 19454286 19821348 29181429 38908572 58362858 87544287 116725716 175088574 262632861 350177148 525265722 1050531444