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1092744048 = 2431131101661
BaseRepresentation
bin100000100100001…
…1111001101110000
32211011012011000210
41001020133031300
54214220302143
6300233144120
736036112464
oct10110371560
92734164023
101092744048
11510909860
12265b5b040
13145510116
14a51b04a4
1565e01033
hex4121f370

1092744048 has 160 divisors (see below), whose sum is σ = 3215222784. Its totient is φ = 316800000.

The previous prime is 1092744019. The next prime is 1092744049. The reversal of 1092744048 is 8404472901.

It is a junction number, because it is equal to n+sod(n) for n = 1092743997 and 1092744015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1092744049) 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 31 ways as a sum of consecutive naturals, for example, 1652838 + ... + 1653498.

Almost surely, 21092744048 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 1092744048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607611392).

1092744048 is an abundant number, since it is smaller than the sum of its proper divisors (2122478736).

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

1092744048 is a wasteful number, since it uses less digits than its factorization.

1092744048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1092744048 is about 33056.6793250623. The cubic root of 1092744048 is about 1030.0053564305.

The spelling of 1092744048 in words is "one billion, ninety-two million, seven hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 101 124 132 176 186 202 248 264 303 341 372 404 496 528 606 661 682 744 808 1023 1111 1212 1322 1364 1488 1616 1983 2046 2222 2424 2644 2728 3131 3333 3966 4092 4444 4848 5288 5456 6262 6666 7271 7932 8184 8888 9393 10576 12524 13332 14542 15864 16368 17776 18786 20491 21813 25048 26664 29084 31728 34441 37572 40982 43626 50096 53328 58168 61473 66761 68882 75144 81964 87252 103323 116336 122946 133522 137764 150288 163928 174504 200283 206646 225401 245892 267044 275528 327856 349008 400566 413292 450802 491784 534088 551056 676203 734371 801132 826584 901604 983568 1068176 1352406 1468742 1602264 1653168 1803208 2069591 2203113 2704812 2937484 3204528 3606416 4139182 4406226 5409624 5874968 6208773 8278364 8812452 10819248 11749936 12417546 16556728 17624904 22765501 24835092 33113456 35249808 45531002 49670184 68296503 91062004 99340368 136593006 182124008 273186012 364248016 546372024 1092744048