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49342832 = 247113331
BaseRepresentation
bin1011110000111…
…0100101110000
310102211212122022
42330032211300
5100112432312
64521331012
71136256440
oct274164560
9112755568
1049342832
1125942000
1214636a68
13a2b8256
1467a6120
1544ea172
hex2f0e970

49342832 has 80 divisors (see below), whose sum is σ = 120539904. Its totient is φ = 19166400.

The previous prime is 49342819. The next prime is 49342837. The reversal of 49342832 is 23824394.

It is a happy number.

49342832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49342792 and 49342801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49342837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148907 + ... + 149237.

Almost surely, 249342832 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 49342832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60269952).

49342832 is an abundant number, since it is smaller than the sum of its proper divisors (71197072).

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

49342832 is a wasteful number, since it uses less digits than its factorization.

49342832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 351 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 49342832 is about 7024.4453161798. The cubic root of 49342832 is about 366.7820081579.

The spelling of 49342832 in words is "forty-nine million, three hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 331 484 616 662 847 968 1232 1324 1331 1694 1936 2317 2648 2662 3388 3641 4634 5296 5324 6776 7282 9268 9317 10648 13552 14564 18536 18634 21296 25487 29128 37072 37268 40051 50974 58256 74536 80102 101948 149072 160204 203896 280357 320408 407792 440561 560714 640816 881122 1121428 1762244 2242856 3083927 3524488 4485712 6167854 7048976 12335708 24671416 49342832