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5149008 = 243429137
BaseRepresentation
bin10011101001000101010000
3100200121010000
4103221011100
52304232013
6302210000
761523454
oct23510520
910617100
105149008
1129a7587
121883900
1310b3867
14980664
156ba973
hex4e9150

5149008 has 100 divisors (see below), whose sum is σ = 15529140. Its totient is φ = 1645056.

The previous prime is 5148973. The next prime is 5149009. The reversal of 5149008 is 8009415.

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 2286144 = 1692^2 + 1512^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5149009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37516 + ... + 37652.

Almost surely, 25149008 is an apocalyptic number.

5149008 is a gapful number since it is divisible by the number (58) 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 5149008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764570).

5149008 is an abundant number, since it is smaller than the sum of its proper divisors (10380132).

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

5149008 is a wasteful number, since it uses less digits than its factorization.

5149008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5149008 is about 2269.1425693420. The cubic root of 5149008 is about 172.6796615858.

The spelling of 5149008 in words is "five million, one hundred forty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 137 144 162 174 216 232 261 274 324 348 411 432 464 522 548 648 696 783 822 1044 1096 1233 1296 1392 1566 1644 2088 2192 2349 2466 3132 3288 3699 3973 4176 4698 4932 6264 6576 7398 7946 9396 9864 11097 11919 12528 14796 15892 18792 19728 22194 23838 29592 31784 35757 37584 44388 47676 59184 63568 71514 88776 95352 107271 143028 177552 190704 214542 286056 321813 429084 572112 643626 858168 1287252 1716336 2574504 5149008