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44152020 = 22335117433
BaseRepresentation
bin1010100001101…
…1010011010100
310002002011012000
42220123103110
542300331040
64214155300
71044200043
oct250332324
9102064160
1044152020
1122a17080
1212952b30
1391bb673
145c1455a
153d22130
hex2a1b4d4

44152020 has 96 divisors (see below), whose sum is σ = 149869440. Its totient is φ = 10702080.

The previous prime is 44151997. The next prime is 44152027. The reversal of 44152020 is 2025144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44151984 and 44152002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44152027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2224 + ... + 9656.

It is an arithmetic number, because the mean of its divisors is an integer number (1561140).

Almost surely, 244152020 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 44152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74934720).

44152020 is an abundant number, since it is smaller than the sum of its proper divisors (105717420).

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

44152020 is a wasteful number, since it uses less digits than its factorization.

44152020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7462 (or 7454 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 44152020 is about 6644.6986387646. The cubic root of 44152020 is about 353.4409446364.

Adding to 44152020 its reverse (2025144), we get a palindrome (46177164).

The spelling of 44152020 in words is "forty-four million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 7433 14866 22299 29732 37165 44598 66897 74330 81763 89196 111495 133794 148660 163526 200691 222990 245289 267588 327052 334485 401382 408815 445980 490578 668970 735867 802764 817630 981156 1003455 1226445 1337940 1471734 1635260 2006910 2207601 2452890 2943468 3679335 4013820 4415202 4905780 7358670 8830404 11038005 14717340 22076010 44152020