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49431648 = 2537174327
BaseRepresentation
bin1011110010010…
…0010001100000
310110000101110210
42330210101200
5100123303043
64523254120
71140106410
oct274442140
9113011423
1049431648
11259a2802
121467a340
13a3197c6
1467ca640
154516633
hex2f24460

49431648 has 96 divisors (see below), whose sum is σ = 157054464. Its totient is φ = 13289472.

The previous prime is 49431619. The next prime is 49431659. The reversal of 49431648 is 84613494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9261 + ... + 13587.

It is an arithmetic number, because the mean of its divisors is an integer number (1635984).

Almost surely, 249431648 is an apocalyptic number.

49431648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49431648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78527232).

49431648 is an abundant number, since it is smaller than the sum of its proper divisors (107622816).

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

49431648 is a wasteful number, since it uses less digits than its factorization.

49431648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4356 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 49431648 is about 7030.7643965646. The cubic root of 49431648 is about 367.0019427368.

The spelling of 49431648 in words is "forty-nine million, four hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 4327 5712 8654 11424 12981 17308 25962 30289 34616 51924 60578 69232 73559 90867 103848 121156 138464 147118 181734 207696 220677 242312 294236 363468 415392 441354 484624 514913 588472 726936 882708 969248 1029826 1176944 1453872 1544739 1765416 2059652 2353888 2907744 3089478 3530832 4119304 6178956 7061664 8238608 12357912 16477216 24715824 49431648