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49084704 = 253429653
BaseRepresentation
bin1011101100111…
…1100100100000
310102100202120000
42323033210200
5100031202304
64512020000
71134133044
oct273174440
9112322500
1049084704
1125786079
1214531600
13a227906
14673a024
154498939
hex2ecf920

49084704 has 120 divisors (see below), whose sum is σ = 149563260. Its totient is φ = 15773184.

The previous prime is 49084703. The next prime is 49084741. The reversal of 49084704 is 40748094.

49084704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 810000 = 6948^2 + 900^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49084703) 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 19 ways as a sum of consecutive naturals, for example, 74842 + ... + 75494.

Almost surely, 249084704 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 49084704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74781630).

49084704 is an abundant number, since it is smaller than the sum of its proper divisors (100478556).

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

49084704 is a wasteful number, since it uses less digits than its factorization.

49084704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 49084704 is about 7006.0476732606. The cubic root of 49084704 is about 366.1413052873.

The spelling of 49084704 in words is "forty-nine million, eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 653 696 783 864 928 1044 1296 1306 1392 1566 1959 2088 2349 2592 2612 2784 3132 3918 4176 4698 5224 5877 6264 7836 8352 9396 10448 11754 12528 15672 17631 18792 18937 20896 23508 25056 31344 35262 37584 37874 47016 52893 56811 62688 70524 75168 75748 94032 105786 113622 141048 151496 170433 188064 211572 227244 282096 302992 340866 423144 454488 511299 564192 605984 681732 846288 908976 1022598 1363464 1533897 1692576 1817952 2045196 2726928 3067794 4090392 5453856 6135588 8180784 12271176 16361568 24542352 49084704