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38450112 = 263238707
BaseRepresentation
bin1001001010101…
…1001111000000
32200100110122020
42102223033000
534320400422
63452041440
7644551311
oct222531700
980313566
1038450112
111a782158
1210a63280
137c7325c
14516c608
15359795c
hex24ab3c0

38450112 has 56 divisors (see below), whose sum is σ = 106167936. Its totient is φ = 12258048.

The previous prime is 38450101. The next prime is 38450117. The reversal of 38450112 is 21105483.

It is a super-2 number, since 2×384501122 = 2956822225625088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38450117) 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 7 ways as a sum of consecutive naturals, for example, 63 + ... + 8769.

It is an arithmetic number, because the mean of its divisors is an integer number (1895856).

Almost surely, 238450112 is an apocalyptic number.

38450112 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 38450112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53083968).

38450112 is an abundant number, since it is smaller than the sum of its proper divisors (67717824).

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

38450112 is a wasteful number, since it uses less digits than its factorization.

38450112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8745 (or 8735 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 38450112 is about 6200.8154302479. The cubic root of 38450112 is about 337.5197596113.

Adding to 38450112 its reverse (21105483), we get a palindrome (59555595).

The spelling of 38450112 in words is "thirty-eight million, four hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 8707 17414 26121 34828 52242 69656 104484 139312 200261 208968 278624 400522 417936 557248 600783 801044 835872 1201566 1602088 1671744 2403132 3204176 4806264 6408352 9612528 12816704 19225056 38450112