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41981440 = 29523231
BaseRepresentation
bin1010000000100…
…1011000000000
32220222212201011
42200021120000
541221401230
64055450304
71016556604
oct240113000
986885634
1041981440
1121774306
1212086994
13890b6b7
14580b504
153a43e2a
hex2809600

41981440 has 120 divisors (see below), whose sum is σ = 108618048. Its totient is φ = 15544320.

The previous prime is 41981413. The next prime is 41981453. The reversal of 41981440 is 4418914.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354225 + ... + 1354255.

Almost surely, 241981440 is an apocalyptic number.

41981440 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 41981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54309024).

41981440 is an abundant number, since it is smaller than the sum of its proper divisors (66636608).

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

41981440 is an equidigital number, since it uses as much as digits as its factorization.

41981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 41981440 is about 6479.3086050905. The cubic root of 41981440 is about 347.5514545204.

The spelling of 41981440 in words is "forty-one million, nine hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 64 80 92 115 124 128 155 160 184 230 248 256 310 320 368 460 496 512 529 620 640 713 736 920 992 1058 1240 1280 1426 1472 1840 1984 2116 2480 2560 2645 2852 2944 3565 3680 3968 4232 4960 5290 5704 5888 7130 7360 7936 8464 9920 10580 11408 11776 14260 14720 15872 16399 16928 19840 21160 22816 28520 29440 32798 33856 39680 42320 45632 57040 58880 65596 67712 79360 81995 84640 91264 114080 131192 135424 163990 169280 182528 228160 262384 270848 327980 338560 365056 456320 524768 655960 677120 912640 1049536 1311920 1354240 1825280 2099072 2623840 4198144 5247680 8396288 10495360 20990720 41981440