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495849042 = 2321321923373
BaseRepresentation
bin11101100011100…
…000111001010010
31021120000202000100
4131203200321102
52003414132132
6121111433230
715200435013
oct3543407122
91246022010
10495849042
112349917a7
1211a085816
137b960900
1449bd500a
152d7e837c
hex1d8e0e52

495849042 has 144 divisors (see below), whose sum is σ = 1281234240. Its totient is φ = 137884032.

The previous prime is 495849031. The next prime is 495849043. The reversal of 495849042 is 240948594.

It is not an unprimeable number, because it can be changed into a prime (495849043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1329168 + ... + 1329540.

It is an arithmetic number, because the mean of its divisors is an integer number (8897460).

Almost surely, 2495849042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495849042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640617120).

495849042 is an abundant number, since it is smaller than the sum of its proper divisors (785385198).

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

495849042 is a wasteful number, since it uses less digits than its factorization.

495849042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 495849042 is about 22267.6680862635. The cubic root of 495849042 is about 791.4980079541.

The spelling of 495849042 in words is "four hundred ninety-five million, eight hundred forty-nine thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 19 23 26 38 39 46 57 69 78 114 117 138 169 171 207 234 247 299 338 342 373 414 437 494 507 598 741 746 874 897 1014 1119 1311 1482 1521 1794 2223 2238 2622 2691 3042 3211 3357 3887 3933 4446 4849 5382 5681 6422 6714 7087 7774 7866 8579 9633 9698 11362 11661 14174 14547 17043 17158 19266 21261 23322 25737 28899 29094 34086 34983 42522 43641 51129 51474 57798 63037 63783 69966 73853 77211 87282 92131 102258 111527 126074 127566 147706 154422 163001 184262 189111 221559 223054 276393 326002 334581 378222 443118 489003 552786 567333 664677 669162 829179 978006 1003743 1134666 1197703 1329354 1449851 1467009 1658358 2007486 2119013 2395406 2899702 2934018 3593109 4238026 4349553 6357039 7186218 8699106 10779327 12714078 13048659 19071117 21558654 26097318 27547169 38142234 55094338 82641507 165283014 247924521 495849042