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49098112 = 277371481
BaseRepresentation
bin1011101101001…
…0110110000000
310102101102221121
42323102312000
5100032114422
64512202024
71134220120
oct273226600
9112342847
1049098112
1125795158
1214539314
13a230a4b
146740c80
15449c8c7
hex2ed2d80

49098112 has 64 divisors (see below), whose sum is σ = 114884640. Its totient is φ = 20459520.

The previous prime is 49098097. The next prime is 49098187. The reversal of 49098112 is 21189094.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×490981124 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32412 + ... + 33892.

Almost surely, 249098112 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 49098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57442320).

49098112 is an abundant number, since it is smaller than the sum of its proper divisors (65786528).

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

49098112 is a wasteful number, since it uses less digits than its factorization.

49098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 49098112 is about 7007.0044955031. The cubic root of 49098112 is about 366.1746406939.

The spelling of 49098112 in words is "forty-nine million, ninety-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 896 1036 1184 1481 2072 2368 2962 4144 4736 5924 8288 10367 11848 16576 20734 23696 33152 41468 47392 54797 82936 94784 109594 165872 189568 219188 331744 383579 438376 663488 767158 876752 1326976 1534316 1753504 3068632 3507008 6137264 7014016 12274528 24549056 49098112