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38849940 = 22325215833
BaseRepresentation
bin1001010000110…
…0110110010100
32201002210002200
42110030312110
534421144230
63504404500
7651135063
oct224146624
981083080
1038849940
111aa25598
1211016730
13808323c
1452341da
153626160
hex250cd94

38849940 has 36 divisors (see below), whose sum is σ = 117845364. Its totient is φ = 10359936.

The previous prime is 38849939. The next prime is 38849959. The reversal of 38849940 is 4994883.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21511044 + 17338896 = 4638^2 + 4164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 107737 + ... + 108096.

Almost surely, 238849940 is an apocalyptic number.

38849940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38849940 is an abundant number, since it is smaller than the sum of its proper divisors (78995424).

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

38849940 is a wasteful number, since it uses less digits than its factorization.

38849940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215848 (or 215843 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38849940 is about 6232.9720037876. The cubic root of 38849940 is about 338.6856406555.

It can be divided in two parts, 3884 and 9940, that added together give a cube (13824 = 243).

The spelling of 38849940 in words is "thirty-eight million, eight hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 215833 431666 647499 863332 1079165 1294998 1942497 2158330 2589996 3237495 3884994 4316660 6474990 7769988 9712485 12949980 19424970 38849940