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60044064 = 2535910601
BaseRepresentation
bin1110010100001…
…1001100100000
311011222112222020
43211003030200
5110332402224
65542541440
71326236403
oct345031440
9134875866
1060044064
1130990aa3
1218137880
13c594042
147d8dd3a
155410c79
hex3943320

60044064 has 48 divisors (see below), whose sum is σ = 160302240. Its totient is φ = 19673600.

The previous prime is 60044041. The next prime is 60044077. The reversal of 60044064 is 46044006.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 10964.

It is an arithmetic number, because the mean of its divisors is an integer number (3339630).

Almost surely, 260044064 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 60044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

60044064 is an abundant number, since it is smaller than the sum of its proper divisors (100258176).

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

60044064 is a wasteful number, since it uses less digits than its factorization.

60044064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673 (or 10665 counting only the distinct ones).

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

The square root of 60044064 is about 7748.8104893590. The cubic root of 60044064 is about 391.5825766257.

The spelling of 60044064 in words is "sixty million, forty-four thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 10601 21202 31803 42404 63606 84808 127212 169616 254424 339232 508848 625459 1017696 1250918 1876377 2501836 3752754 5003672 7505508 10007344 15011016 20014688 30022032 60044064