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60144444 = 2235431439
BaseRepresentation
bin1110010101101…
…1101100111100
311012011122200000
43211123230330
5110344110234
65545034300
71330135143
oct345335474
9135148600
1060144444
1130a4a458
1218185990
13c5ca939
147db875a
155430899
hex395bb3c

60144444 has 72 divisors (see below), whose sum is σ = 161441280. Its totient is φ = 19568304.

The previous prime is 60144439. The next prime is 60144449. The reversal of 60144444 is 44444106.

It is an interprime number because it is at equal distance from previous prime (60144439) and next prime (60144449).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60144449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41077 + ... + 42515.

It is an arithmetic number, because the mean of its divisors is an integer number (2242240).

Almost surely, 260144444 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 60144444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80720640).

60144444 is an abundant number, since it is smaller than the sum of its proper divisors (101296836).

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

60144444 is a wasteful number, since it uses less digits than its factorization.

60144444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 60144444 is about 7755.2849077258. The cubic root of 60144444 is about 391.8006674332.

The spelling of 60144444 in words is "sixty million, one hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 774 972 1161 1439 1548 2322 2878 3483 4317 4644 5756 6966 8634 10449 12951 13932 17268 20898 25902 38853 41796 51804 61877 77706 116559 123754 155412 185631 233118 247508 349677 371262 466236 556893 699354 742524 1113786 1398708 1670679 2227572 3341358 5012037 6682716 10024074 15036111 20048148 30072222 60144444