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38972850 = 2352737117
BaseRepresentation
bin1001010010101…
…0110110110010
32201100000200220
42110222312302
534434112400
63511153510
7652156320
oct224526662
981300626
1038972850
111aaa9974
1211075896
1380c7177
145266d10
15364c7a0
hex252adb2

38972850 has 48 divisors (see below), whose sum is σ = 110463168. Its totient is φ = 8907840.

The previous prime is 38972821. The next prime is 38972851. The reversal of 38972850 is 5827983.

38972850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (38972851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17509 + ... + 19608.

It is an arithmetic number, because the mean of its divisors is an integer number (2301316).

Almost surely, 238972850 is an apocalyptic number.

38972850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38972850 is an abundant number, since it is smaller than the sum of its proper divisors (71490318).

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

38972850 is a wasteful number, since it uses less digits than its factorization.

38972850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37139 (or 37134 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 38972850 is about 6242.8238802644. The cubic root of 38972850 is about 339.0424325371.

The spelling of 38972850 in words is "thirty-eight million, nine hundred seventy-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 37117 74234 111351 185585 222702 259819 371170 519638 556755 779457 927925 1113510 1299095 1558914 1855850 2598190 2783775 3897285 5567550 6495475 7794570 12990950 19486425 38972850