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4144950 = 2325261151
BaseRepresentation
bin1111110011111100110110
321210120210200
433303330312
52030114300
6224501330
750142255
oct17637466
97716720
104144950
112381187
12147a846
13b21844
1479c79c
1556d200
hex3f3f36

4144950 has 72 divisors (see below), whose sum is σ = 11393616. Its totient is φ = 1080000.

The previous prime is 4144919. The next prime is 4144961. The reversal of 4144950 is 594414.

It is a super-2 number, since 2×41449502 = 34361221005000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27375 + ... + 27525.

Almost surely, 24144950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696808).

4144950 is an abundant number, since it is smaller than the sum of its proper divisors (7248666).

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

4144950 is a wasteful number, since it uses less digits than its factorization.

4144950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4144950 is about 2035.9150276964. The cubic root of 4144950 is about 160.6348475141.

It can be divided in two parts, 414 and 4950, that multiplied together give a triangular number (2049300 = T2024).

The spelling of 4144950 in words is "four million, one hundred forty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 150 151 183 225 302 305 366 450 453 549 610 755 906 915 1098 1359 1510 1525 1830 2265 2718 2745 3050 3775 4530 4575 5490 6795 7550 9150 9211 11325 13590 13725 18422 22650 27450 27633 33975 46055 55266 67950 82899 92110 138165 165798 230275 276330 414495 460550 690825 828990 1381650 2072475 4144950