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43985920 = 210511271
BaseRepresentation
bin1010011111001…
…0110000000000
310001202201100011
42213302300000
542230022140
64210434304
71042605556
oct247626000
9101681304
1043985920
1122913300
1212892994
139160b94
145badbd6
153cdccea
hex29f2c00

43985920 has 132 divisors (see below), whose sum is σ = 117612432. Its totient is φ = 15769600.

The previous prime is 43985899. The next prime is 43985927. The reversal of 43985920 is 2958934.

It is a happy number.

It is a super-2 number, since 2×439859202 = 3869522316492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (43985927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619485 + ... + 619555.

Almost surely, 243985920 is an apocalyptic number.

43985920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58806216).

43985920 is an abundant number, since it is smaller than the sum of its proper divisors (73626512).

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

43985920 is a wasteful number, since it uses less digits than its factorization.

43985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 43985920 is about 6632.1881758587. The cubic root of 43985920 is about 352.9971724662.

The spelling of 43985920 in words is "forty-three million, nine hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 71 80 88 110 121 128 142 160 176 220 242 256 284 320 352 355 440 484 512 568 605 640 704 710 781 880 968 1024 1136 1210 1280 1408 1420 1562 1760 1936 2272 2420 2560 2816 2840 3124 3520 3872 3905 4544 4840 5120 5632 5680 6248 7040 7744 7810 8591 9088 9680 11264 11360 12496 14080 15488 15620 17182 18176 19360 22720 24992 28160 30976 31240 34364 36352 38720 42955 45440 49984 56320 61952 62480 68728 72704 77440 85910 90880 99968 123904 124960 137456 154880 171820 181760 199936 249920 274912 309760 343640 363520 399872 499840 549824 619520 687280 799744 999680 1099648 1374560 1999360 2199296 2749120 3998720 4398592 5498240 8797184 10996480 21992960 43985920