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38949468 = 223191391229
BaseRepresentation
bin1001010010010…
…1001001011100
32201021211121220
42110211021130
534432340333
63510453340
7652031205
oct224451134
981254556
1038949468
111aa93348
1211064250
1380b962c
14525c5ac
1536458b3
hex252525c

38949468 has 48 divisors (see below), whose sum is σ = 96432000. Its totient is φ = 12201408.

The previous prime is 38949457. The next prime is 38949497. The reversal of 38949468 is 86494983.

It is a happy number.

It is a super-3 number, since 3×389494683 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 38949468.

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 15 ways as a sum of consecutive naturals, for example, 31078 + ... + 32306.

It is an arithmetic number, because the mean of its divisors is an integer number (2009000).

Almost surely, 238949468 is an apocalyptic number.

38949468 is a gapful number since it is divisible by the number (38) 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 38949468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48216000).

38949468 is an abundant number, since it is smaller than the sum of its proper divisors (57482532).

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

38949468 is a wasteful number, since it uses less digits than its factorization.

38949468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1392 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 38949468 is about 6240.9508890873. The cubic root of 38949468 is about 338.9746154451.

The spelling of 38949468 in words is "thirty-eight million, nine hundred forty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 417 556 834 1229 1668 2458 2641 3687 4916 5282 7374 7923 10564 14748 15846 23351 31692 46702 70053 93404 140106 170831 280212 341662 512493 683324 1024986 2049972 3245789 6491578 9737367 12983156 19474734 38949468