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4046064 = 243117997
BaseRepresentation
bin1111011011110011110000
321121120011020
433123303300
52013433224
6222415440
746251051
oct17336360
97546136
104046064
112313960
121431580
13ab8829
14774728
1554dc79
hex3dbcf0

4046064 has 80 divisors (see below), whose sum is σ = 11665920. Its totient is φ = 1198080.

The previous prime is 4046059. The next prime is 4046083. The reversal of 4046064 is 4606404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41664 + ... + 41760.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 24046064 is an apocalyptic number.

4046064 is a gapful number since it is divisible by the number (44) 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 4046064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832960).

4046064 is an abundant number, since it is smaller than the sum of its proper divisors (7619856).

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

4046064 is a wasteful number, since it uses less digits than its factorization.

4046064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4046064 is about 2011.4830349769. The cubic root of 4046064 is about 159.3471313055.

The spelling of 4046064 in words is "four million, forty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 97 132 158 176 194 237 264 291 316 388 474 528 582 632 776 869 948 1067 1164 1264 1552 1738 1896 2134 2328 2607 3201 3476 3792 4268 4656 5214 6402 6952 7663 8536 10428 12804 13904 15326 17072 20856 22989 25608 30652 41712 45978 51216 61304 84293 91956 122608 168586 183912 252879 337172 367824 505758 674344 1011516 1348688 2023032 4046064