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38950500 = 22353231129
BaseRepresentation
bin1001010010010…
…1011001100100
32201021220001010
42110211121210
534432404000
63510502220
7652034211
oct224453144
981256033
1038950500
111aa940a6
1211064970
1380b9c44
14525cb08
153645d50
hex2525664

38950500 has 96 divisors (see below), whose sum is σ = 118460160. Its totient is φ = 9926400.

The previous prime is 38950493. The next prime is 38950501. The reversal of 38950500 is 505983.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38950501) 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 31 ways as a sum of consecutive naturals, for example, 33936 + ... + 35064.

It is an arithmetic number, because the mean of its divisors is an integer number (1233960).

Almost surely, 238950500 is an apocalyptic number.

38950500 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 38950500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59230080).

38950500 is an abundant number, since it is smaller than the sum of its proper divisors (79509660).

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

38950500 is a wasteful number, since it uses less digits than its factorization.

38950500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 38950500 is about 6241.0335682481. The cubic root of 38950500 is about 338.9776092276.

The spelling of 38950500 in words is "thirty-eight million, nine hundred fifty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 150 230 250 276 300 345 375 460 500 575 690 750 1129 1150 1380 1500 1725 2258 2300 2875 3387 3450 4516 5645 5750 6774 6900 8625 11290 11500 13548 16935 17250 22580 25967 28225 33870 34500 51934 56450 67740 77901 84675 103868 112900 129835 141125 155802 169350 259670 282250 311604 338700 389505 423375 519340 564500 649175 779010 846750 1298350 1558020 1693500 1947525 2596700 3245875 3895050 6491750 7790100 9737625 12983500 19475250 38950500