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49226528 = 2513731621
BaseRepresentation
bin1011101111001…
…0001100100000
310102121222002202
42323302030200
5100100222103
64515032332
71135263401
oct273621440
9112558082
1049226528
112587268a
121459b6a8
13a277330
1467759a8
1544c5988
hex2ef2320

49226528 has 48 divisors (see below), whose sum is σ = 105864696. Its totient is φ = 22394880.

The previous prime is 49226521. The next prime is 49226537. The reversal of 49226528 is 82562294.

It can be written as a sum of positive squares in 4 ways, for example, as 41319184 + 7907344 = 6428^2 + 2812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 49226491 and 49226500.

It is not an unprimeable number, because it can be changed into a prime (49226521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29558 + ... + 31178.

Almost surely, 249226528 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 49226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52932348).

49226528 is an abundant number, since it is smaller than the sum of its proper divisors (56638168).

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

49226528 is a wasteful number, since it uses less digits than its factorization.

49226528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1709 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 49226528 is about 7016.1619137531. The cubic root of 49226528 is about 366.4936057505.

The spelling of 49226528 in words is "forty-nine million, two hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 949 1168 1621 1898 2336 3242 3796 6484 7592 12968 15184 21073 25936 30368 42146 51872 84292 118333 168584 236666 337168 473332 674336 946664 1538329 1893328 3076658 3786656 6153316 12306632 24613264 49226528