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49628352 = 263534877
BaseRepresentation
bin1011110101010…
…0010011000000
310110101101022010
42331110103000
5100201101402
64531412520
71141556034
oct275242300
9113341263
1049628352
1126017574
1214754140
13a3881b7
14683c1c4
154554a6c
hex2f544c0

49628352 has 56 divisors (see below), whose sum is σ = 133813296. Its totient is φ = 16227328.

The previous prime is 49628351. The next prime is 49628377. The reversal of 49628352 is 25382694.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49628352.

It is not an unprimeable number, because it can be changed into a prime (49628351) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7738 + ... + 12614.

Almost surely, 249628352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66906648).

49628352 is an abundant number, since it is smaller than the sum of its proper divisors (84184944).

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

49628352 is a wasteful number, since it uses less digits than its factorization.

49628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4935 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 49628352 is about 7044.7393138426. The cubic root of 49628352 is about 367.4881036456.

The spelling of 49628352 in words is "forty-nine million, six hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 4877 5088 9754 10176 14631 19508 29262 39016 58524 78032 117048 156064 234096 258481 312128 468192 516962 775443 936384 1033924 1550886 2067848 3101772 4135696 6203544 8271392 12407088 16542784 24814176 49628352