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38989314 = 23271321831
BaseRepresentation
bin1001010010111…
…0111000000010
32201100212021200
42110232320002
534440124224
63511402030
7652255320
oct224567002
981325250
1038989314
1120010281
1211083316
138101800
14526cd10
1536525c9
hex252ee02

38989314 has 72 divisors (see below), whose sum is σ = 104599872. Its totient is φ = 10277280.

The previous prime is 38989303. The next prime is 38989331. The reversal of 38989314 is 41398983.

It is a self number, because there is not a number n which added to its sum of digits gives 38989314.

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 35 ways as a sum of consecutive naturals, for example, 20379 + ... + 22209.

It is an arithmetic number, because the mean of its divisors is an integer number (1452776).

Almost surely, 238989314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38989314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52299936).

38989314 is an abundant number, since it is smaller than the sum of its proper divisors (65610558).

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

38989314 is a wasteful number, since it uses less digits than its factorization.

38989314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1856 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 38989314 is about 6244.1423750584. The cubic root of 38989314 is about 339.0901684076.

The spelling of 38989314 in words is "thirty-eight million, nine hundred eighty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 1831 2366 3042 3549 3662 5493 7098 10647 10986 12817 16479 21294 23803 25634 32958 38451 47606 71409 76902 115353 142818 166621 214227 230706 309439 333242 428454 499863 618878 928317 999726 1499589 1856634 2166073 2784951 2999178 4332146 5569902 6498219 12996438 19494657 38989314