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842746960 = 245112933023
BaseRepresentation
bin110010001110110…
…100110001010000
32011201202222111101
4302032310301100
53211220400320
6215342554144
726612142136
oct6216646120
92151688441
10842746960
113a27882a0
121b6298954
1310579bb53
147dcd5756
154debcc0a
hex323b4c50

842746960 has 80 divisors (see below), whose sum is σ = 2211287040. Its totient is φ = 295877120.

The previous prime is 842746951. The next prime is 842746987. The reversal of 842746960 is 69647248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 842746960.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9009 + ... + 42031.

It is an arithmetic number, because the mean of its divisors is an integer number (27641088).

Almost surely, 2842746960 is an apocalyptic number.

842746960 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 842746960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105643520).

842746960 is an abundant number, since it is smaller than the sum of its proper divisors (1368540080).

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

842746960 is a wasteful number, since it uses less digits than its factorization.

842746960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33076 (or 33070 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 842746960 is about 29030.1043745971. The cubic root of 842746960 is about 944.5661941416.

The spelling of 842746960 in words is "eight hundred forty-two million, seven hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 33023 66046 132092 165115 264184 330230 363253 528368 660460 726506 957667 1320920 1453012 1816265 1915334 2641840 2906024 3632530 3830668 4788335 5812048 7265060 7661336 9576670 10534337 14530120 15322672 19153340 21068674 29060240 38306680 42137348 52671685 76613360 84274696 105343370 168549392 210686740 421373480 842746960