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845989164 = 2233371271667
BaseRepresentation
bin110010011011001…
…100010100101100
32011221212200222000
4302123030110230
53213033123124
6215540252300
726651534466
oct6233142454
92157780860
10845989164
113a45a21a9
121b73a1090
13106365807
14804db136
154e40d6c9
hex326cc52c

845989164 has 96 divisors (see below), whose sum is σ = 2271682560. Its totient is φ = 272051136.

The previous prime is 845989159. The next prime is 845989169. The reversal of 845989164 is 461989548.

It is an interprime number because it is at equal distance from previous prime (845989159) and next prime (845989169).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 845989164.

It is not an unprimeable number, because it can be changed into a prime (845989169) 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, 506659 + ... + 508325.

It is an arithmetic number, because the mean of its divisors is an integer number (23663360).

Almost surely, 2845989164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845989164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135841280).

845989164 is an abundant number, since it is smaller than the sum of its proper divisors (1425693396).

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

845989164 is a wasteful number, since it uses less digits than its factorization.

845989164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1836 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 845989164 is about 29085.8928692244. The cubic root of 845989164 is about 945.7759512438.

The spelling of 845989164 in words is "eight hundred forty-five million, nine hundred eighty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 127 148 222 254 333 381 444 508 666 762 999 1143 1332 1524 1667 1998 2286 3334 3429 3996 4572 4699 5001 6668 6858 9398 10002 13716 14097 15003 18796 20004 28194 30006 42291 45009 56388 60012 61679 84582 90018 123358 126873 169164 180036 185037 211709 246716 253746 370074 423418 507492 555111 635127 740148 846836 1110222 1270254 1665333 1905381 2220444 2540508 3330666 3810762 5716143 6661332 7621524 7833233 11432286 15666466 22864572 23499699 31332932 46999398 70499097 93998796 140998194 211497291 281996388 422994582 845989164