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1981402572 = 2233141163797
BaseRepresentation
bin111011000011001…
…1100110111001100
312010002100200100110
41312012130313030
513024214340242
6524340200020
7100046433612
oct16606346714
95102320313
101981402572
119274a5096
12473699010
13257665476
1414b2176b2
15b8e3c39c
hex7619cdcc

1981402572 has 96 divisors (see below), whose sum is σ = 4924975104. Its totient is φ = 618969600.

The previous prime is 1981402559. The next prime is 1981402589. The reversal of 1981402572 is 2752041891.

It is a super-3 number, since 3×19814025723 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1981402572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2485678 + ... + 2486474.

It is an arithmetic number, because the mean of its divisors is an integer number (51301824).

Almost surely, 21981402572 is an apocalyptic number.

1981402572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1981402572 is an abundant number, since it is smaller than the sum of its proper divisors (2943572532).

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

1981402572 is a wasteful number, since it uses less digits than its factorization.

1981402572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1981402572 is about 44512.9483633695. The cubic root of 1981402572 is about 1256.0036673118.

The spelling of 1981402572 in words is "one billion, nine hundred eighty-one million, four hundred two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 41 62 82 93 123 124 163 164 186 246 326 372 489 492 652 797 978 1271 1594 1956 2391 2542 3188 3813 4782 5053 5084 6683 7626 9564 10106 13366 15159 15252 20049 20212 24707 26732 30318 32677 40098 49414 60636 65354 74121 80196 98031 98828 129911 130708 148242 196062 207173 259822 296484 389733 392124 414346 519644 621519 779466 828692 1012987 1243038 1558932 2025974 2486076 3038961 4027241 4051948 5326351 6077922 8054482 10652702 12081723 12155844 15979053 16108964 21305404 24163446 31958106 48326892 63916212 165116881 330233762 495350643 660467524 990701286 1981402572