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38841840 = 2432573739
BaseRepresentation
bin1001010000101…
…0110111110000
32201002100222200
42110022313300
534420414330
63504303200
7651102342
oct224126760
981070880
1038841840
111aa1a4a4
1211011b00
13807c64b
145231292
153623a60
hex250adf0

38841840 has 120 divisors (see below), whose sum is σ = 132409680. Its totient is φ = 10202112.

The previous prime is 38841839. The next prime is 38841841. The reversal of 38841840 is 4814883.

It is an interprime number because it is at equal distance from previous prime (38841839) and next prime (38841841).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38841795 and 38841804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38841841) 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, 52191 + ... + 52929.

It is an arithmetic number, because the mean of its divisors is an integer number (1103414).

Almost surely, 238841840 is an apocalyptic number.

38841840 is a gapful number since it is divisible by the number (30) 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 38841840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66204840).

38841840 is an abundant number, since it is smaller than the sum of its proper divisors (93567840).

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

38841840 is a wasteful number, since it uses less digits than its factorization.

38841840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 38841840 is about 6232.3221996299. The cubic root of 38841840 is about 338.6621009849.

The spelling of 38841840 in words is "thirty-eight million, eight hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 584 657 720 730 739 876 1095 1168 1314 1460 1478 1752 2190 2217 2628 2920 2956 3285 3504 3695 4380 4434 5256 5840 5912 6570 6651 7390 8760 8868 10512 11085 11824 13140 13302 14780 17520 17736 22170 26280 26604 29560 33255 35472 44340 52560 53208 53947 59120 66510 88680 106416 107894 133020 161841 177360 215788 266040 269735 323682 431576 485523 532080 539470 647364 809205 863152 971046 1078940 1294728 1618410 1942092 2157880 2427615 2589456 3236820 3884184 4315760 4855230 6473640 7768368 9710460 12947280 19420920 38841840