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1442239536 = 2431931139367
BaseRepresentation
bin101010111110110…
…1101010000110000
310201111211100201010
41111331231100300
510423203131121
6355040110520
750511555663
oct12575552060
93644740633
101442239536
11680119a01
12343005440
1319ca4a79a
14d97896da
158693a376
hex55f6d430

1442239536 has 160 divisors (see below), whose sum is σ = 4088627200. Its totient is φ = 436389120.

The previous prime is 1442239511. The next prime is 1442239537. The reversal of 1442239536 is 6359322441.

It is a junction number, because it is equal to n+sod(n) for n = 1442239494 and 1442239503.

It is not an unprimeable number, because it can be changed into a prime (1442239537) 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, 3929625 + ... + 3929991.

It is an arithmetic number, because the mean of its divisors is an integer number (25553920).

Almost surely, 21442239536 is an apocalyptic number.

1442239536 is a gapful number since it is divisible by the number (16) 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 1442239536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044313600).

1442239536 is an abundant number, since it is smaller than the sum of its proper divisors (2646387664).

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

1442239536 is a wasteful number, since it uses less digits than its factorization.

1442239536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 1442239536 is about 37976.8289355496. The cubic root of 1442239536 is about 1129.8283436750.

The spelling of 1442239536 in words is "one billion, four hundred forty-two million, two hundred thirty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 139 152 186 228 248 278 304 367 372 417 456 496 556 589 734 744 834 912 1101 1112 1178 1468 1488 1668 1767 2202 2224 2356 2641 2936 3336 3534 4309 4404 4712 5282 5872 6672 6973 7068 7923 8618 8808 9424 10564 11377 12927 13946 14136 15846 17236 17616 20919 21128 22754 25854 27892 28272 31692 34131 34472 41838 42256 45508 51013 51708 55784 63384 68262 68944 81871 83676 91016 102026 103416 111568 126768 136524 153039 163742 167352 182032 204052 206832 216163 245613 273048 306078 327484 334704 408104 432326 491226 546096 612156 648489 654968 816208 864652 969247 982452 1224312 1296978 1309936 1581403 1729304 1938494 1964904 2448624 2593956 2907741 3162806 3458608 3876988 3929808 4744209 5187912 5815482 6325612 7753976 9488418 10375824 11630964 12651224 15507952 18976836 23261928 25302448 30046657 37953672 46523856 60093314 75907344 90139971 120186628 180279942 240373256 360559884 480746512 721119768 1442239536