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1012249392 = 2437111032659
BaseRepresentation
bin111100010101011…
…011001100110000
32121112201121010020
4330111123030300
54033113440032
6244240003440
734040656260
oct7425331460
92545647106
101012249392
1147a42aa50
12243000580
1313193884b
14986197a0
155dd00b2c
hex3c55b330

1012249392 has 160 divisors (see below), whose sum is σ = 3293122560. Its totient is φ = 260271360.

The previous prime is 1012249373. The next prime is 1012249393. The reversal of 1012249392 is 2939422101.

1012249392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1012249393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379359 + ... + 382017.

It is an arithmetic number, because the mean of its divisors is an integer number (20582016).

Almost surely, 21012249392 is an apocalyptic number.

1012249392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012249392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646561280).

1012249392 is an abundant number, since it is smaller than the sum of its proper divisors (2280873168).

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

1012249392 is a wasteful number, since it uses less digits than its factorization.

1012249392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1012249392 is about 31815.8669848866. The cubic root of 1012249392 is about 1004.0665712486.

The spelling of 1012249392 in words is "one billion, twelve million, two hundred forty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 103 112 132 154 168 176 206 231 264 308 309 336 412 462 528 616 618 721 824 924 1133 1232 1236 1442 1648 1848 2163 2266 2472 2659 2884 3399 3696 4326 4532 4944 5318 5768 6798 7931 7977 8652 9064 10636 11536 13596 15862 15954 17304 18128 18613 21272 23793 27192 29249 31724 31908 34608 37226 42544 47586 54384 55839 58498 63448 63816 74452 87747 95172 111678 116996 126896 127632 148904 175494 190344 204743 223356 233992 273877 297808 350988 380688 409486 446712 467984 547754 614229 701976 818972 821631 893424 1095508 1228458 1403952 1637944 1643262 1917139 2191016 2456916 3012647 3275888 3286524 3834278 4382032 4913832 5751417 6025294 6573048 7668556 9037941 9827664 11502834 12050588 13146096 15337112 18075882 21088529 23005668 24101176 30674224 36151764 42177058 46011336 48202352 63265587 72303528 84354116 92022672 126531174 144607056 168708232 253062348 337416464 506124696 1012249392