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1144893552 = 243112974771
BaseRepresentation
bin100010000111101…
…1011000001110000
32221210022121200220
41010033123001300
54321043043202
6305335013040
740241302035
oct10417330160
92853277626
101144893552
11538298520
1227b50a180
1315326ba0a
14ac0a738c
156a7a2abc
hex443db070

1144893552 has 80 divisors (see below), whose sum is σ = 3337822080. Its totient is φ = 334969600.

The previous prime is 1144893551. The next prime is 1144893557. The reversal of 1144893552 is 2553984411.

It is a super-2 number, since 2×11448935522 = 2621562490822353408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144893551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22074 + ... + 52697.

It is an arithmetic number, because the mean of its divisors is an integer number (41722776).

Almost surely, 21144893552 is an apocalyptic number.

1144893552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144893552 is an abundant number, since it is smaller than the sum of its proper divisors (2192928528).

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

1144893552 is a wasteful number, since it uses less digits than its factorization.

1144893552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74822 (or 74816 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 1144893552 is about 33836.2756815817. The cubic root of 1144893552 is about 1046.1365356443.

The spelling of 1144893552 in words is "one billion, one hundred forty-four million, eight hundred ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 5104 7656 15312 74771 149542 224313 299084 448626 598168 822481 897252 1196336 1644962 1794504 2168359 2467443 3289924 3589008 4336718 4934886 6505077 6579848 8673436 9869772 13010154 13159696 17346872 19739544 23851949 26020308 34693744 39479088 47703898 52040616 71555847 95407796 104081232 143111694 190815592 286223388 381631184 572446776 1144893552