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8049532560 = 243583491823
BaseRepresentation
bin1110111111100101…
…00001111010010000
3202202222121121210120
413133302201322100
5112441140020220
63410425230240
7403321616646
oct73762417220
922688547716
108049532560
113460829a53
121687932380
139b3896824
145650bd196
15321a31a40
hex1dfca1e90

8049532560 has 160 divisors (see below), whose sum is σ = 25336378368. Its totient is φ = 2113789440.

The previous prime is 8049532531. The next prime is 8049532567. The reversal of 8049532560 is 652359408.

It is not an unprimeable number, because it can be changed into a prime (8049532567) 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, 9780309 + ... + 9781131.

Almost surely, 28049532560 is an apocalyptic number.

8049532560 is a gapful number since it is divisible by the number (80) 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 8049532560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668189184).

8049532560 is an abundant number, since it is smaller than the sum of its proper divisors (17286845808).

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

8049532560 is a wasteful number, since it uses less digits than its factorization.

8049532560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 8049532560 is about 89719.1872455385. The cubic root of 8049532560 is about 2004.1192235076.

The spelling of 8049532560 in words is "eight billion, forty-nine million, five hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 491 498 664 823 830 982 996 1245 1328 1473 1646 1660 1964 1992 2455 2469 2490 2946 3292 3320 3928 3984 4115 4910 4938 4980 5892 6584 6640 7365 7856 8230 9820 9876 9960 11784 12345 13168 14730 16460 19640 19752 19920 23568 24690 29460 32920 39280 39504 40753 49380 58920 65840 68309 81506 98760 117840 122259 136618 163012 197520 203765 204927 244518 273236 326024 341545 404093 407530 409854 489036 546472 611295 652048 683090 808186 815060 819708 978072 1024635 1092944 1212279 1222590 1366180 1616372 1630120 1639416 1956144 2020465 2049270 2424558 2445180 2732360 3232744 3260240 3278832 4040930 4098540 4849116 4890360 5464720 6061395 6465488 8081860 8197080 9698232 9780720 12122790 16163720 16394160 19396464 24245580 32327440 33539719 48491160 67079438 96982320 100619157 134158876 167698595 201238314 268317752 335397190 402476628 503095785 536635504 670794380 804953256 1006191570 1341588760 1609906512 2012383140 2683177520 4024766280 8049532560