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1049142672 = 24333178341
BaseRepresentation
bin111110100010001…
…010010110010000
32201010010222012000
4332202022112100
54122040031142
6252034434000
734666364664
oct7642122620
92633128160
101049142672
11499239466
12253432900
131394852a6
149d4a08a4
156218c14c
hex3e88a590

1049142672 has 80 divisors (see below), whose sum is σ = 3108610560. Its totient is φ = 338428800.

The previous prime is 1049142643. The next prime is 1049142697. The reversal of 1049142672 is 2762419401.

It is a happy number.

It is a super-2 number, since 2×10491426722 = 2201400692422599168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 25779 + ... + 52562.

It is an arithmetic number, because the mean of its divisors is an integer number (38857632).

Almost surely, 21049142672 is an apocalyptic number.

1049142672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1049142672 is an abundant number, since it is smaller than the sum of its proper divisors (2059467888).

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

1049142672 is a wasteful number, since it uses less digits than its factorization.

1049142672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78389 (or 78377 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1049142672 is about 32390.4719323445. The cubic root of 1049142672 is about 1016.1196513145.

The spelling of 1049142672 in words is "one billion, forty-nine million, one hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 78341 156682 235023 313364 470046 626728 705069 940092 1253456 1410138 1880184 2115207 2428571 2820276 3760368 4230414 4857142 5640552 7285713 8460828 9714284 11281104 14571426 16921656 19428568 21857139 29142852 33843312 38857136 43714278 58285704 65571417 87428556 116571408 131142834 174857112 262285668 349714224 524571336 1049142672