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39919872 = 28359881
BaseRepresentation
bin1001100001001…
…0000100000000
32210010010202210
42120102010000
540204413442
63543342120
7663212316
oct230220400
983103683
1039919872
1120596433
1211451940
138369235
1454320b6
15378819c
hex2612100

39919872 has 72 divisors (see below), whose sum is σ = 108168480. Its totient is φ = 13066240.

The previous prime is 39919871. The next prime is 39919879. The reversal of 39919872 is 27891993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (39919871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44872 + ... + 45752.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340).

Almost surely, 239919872 is an apocalyptic number.

39919872 is a gapful number since it is divisible by the number (32) 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 39919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54084240).

39919872 is an abundant number, since it is smaller than the sum of its proper divisors (68248608).

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

39919872 is an equidigital number, since it uses as much as digits as its factorization.

39919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its digits is 244944, while the sum is 48.

The square root of 39919872 is about 6318.2174701414. The cubic root of 39919872 is about 341.7666750930.

The spelling of 39919872 in words is "thirty-nine million, nine hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 881 944 1416 1762 1888 2643 2832 3524 3776 5286 5664 7048 7552 10572 11328 14096 15104 21144 22656 28192 42288 45312 51979 56384 84576 103958 112768 155937 169152 207916 225536 311874 338304 415832 623748 676608 831664 1247496 1663328 2494992 3326656 4989984 6653312 9979968 13306624 19959936 39919872