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38714112 = 28341867
BaseRepresentation
bin1001001110101…
…1101100000000
32200211212210000
42103223230000
534402322422
63501440000
7650031063
oct223535400
980755700
1038714112
111a942538
1210b70000
138036478
1451da8da
1535eacac
hex24ebb00

38714112 has 90 divisors (see below), whose sum is σ = 115500308. Its totient is φ = 12897792.

The previous prime is 38714111. The next prime is 38714119. The reversal of 38714112 is 21141783.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38714111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19803 + ... + 21669.

Almost surely, 238714112 is an apocalyptic number.

38714112 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 38714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57750154).

38714112 is an abundant number, since it is smaller than the sum of its proper divisors (76786196).

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

38714112 is an equidigital number, since it uses as much as digits as its factorization.

38714112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1872 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 38714112 is about 6222.0665377349. The cubic root of 38714112 is about 338.2904730799.

Adding to 38714112 its reverse (21141783), we get a palindrome (59855895).

The spelling of 38714112 in words is "thirty-eight million, seven hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 1867 2304 2592 3456 3734 5184 5601 6912 7468 10368 11202 14936 16803 20736 22404 29872 33606 44808 50409 59744 67212 89616 100818 119488 134424 151227 179232 201636 238976 268848 302454 358464 403272 477952 537696 604908 716928 806544 1075392 1209816 1433856 1613088 2150784 2419632 3226176 4301568 4839264 6452352 9678528 12904704 19357056 38714112