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60049944 = 2333317877
BaseRepresentation
bin1110010100010…
…0101000011000
311011222212001000
43211010220120
5110333044234
65543025000
71326262503
oct345045030
9134885030
1060049944
1130995459
121813b160
13c596916
147d9213a
155412899
hex3944a18

60049944 has 64 divisors (see below), whose sum is σ = 167522400. Its totient is φ = 19930752.

The previous prime is 60049943. The next prime is 60049949. The reversal of 60049944 is 44994006.

60049944 is a `hidden beast` number, since 600 + 4 + 9 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60049899 and 60049908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60049943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68034 + ... + 68910.

Almost surely, 260049944 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 60049944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83761200).

60049944 is an abundant number, since it is smaller than the sum of its proper divisors (107472456).

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

60049944 is a wasteful number, since it uses less digits than its factorization.

60049944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 60049944 is about 7749.1898931437. The cubic root of 60049944 is about 391.5953585186.

The spelling of 60049944 in words is "sixty million, forty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 317 634 877 951 1268 1754 1902 2536 2631 2853 3508 3804 5262 5706 7016 7608 7893 8559 10524 11412 15786 17118 21048 22824 23679 31572 34236 47358 63144 68472 94716 189432 278009 556018 834027 1112036 1668054 2224072 2502081 3336108 5004162 6672216 7506243 10008324 15012486 20016648 30024972 60049944