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49217296 = 241928521
BaseRepresentation
bin1011101110111…
…1111100010000
310102121111102211
42323233330100
5100044423141
64514521504
71135224442
oct273577420
9112544384
1049217296
1125866757
1214596294
13a27307b
146772492
1544c2d81
hex2eeff10

49217296 has 30 divisors (see below), whose sum is σ = 100653342. Its totient is φ = 23310720.

The previous prime is 49217293. The next prime is 49217297. The reversal of 49217296 is 69271294.

It can be written as a sum of positive squares in only one way, i.e., 41731600 + 7485696 = 6460^2 + 2736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49217291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1516 + ... + 10036.

Almost surely, 249217296 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 49217296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50326671).

49217296 is an abundant number, since it is smaller than the sum of its proper divisors (51436046).

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

49217296 is a wasteful number, since it uses less digits than its factorization.

49217296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8567 (or 8542 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 49217296 is about 7015.5039733436. The cubic root of 49217296 is about 366.4706934398.

It can be divided in two parts, 4 and 9217296, that multiplied together give a square (36869184 = 60722).

The spelling of 49217296 in words is "forty-nine million, two hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 8521 17042 34084 68168 136336 161899 323798 647596 1295192 2590384 3076081 6152162 12304324 24608648 49217296