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48493680 = 24353743127
BaseRepresentation
bin1011100011111…
…1010001110000
310101020201211020
42320333101300
544403244210
64451215440
71126121664
oct270772160
9111221736
1048493680
1125412024
12142a7580
13a07b8b1
1466248a4
1543cd770
hex2e3f470

48493680 has 160 divisors (see below), whose sum is σ = 159227904. Its totient is φ = 12192768.

The previous prime is 48493667. The next prime is 48493691. The reversal of 48493680 is 8639484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381777 + ... + 381903.

Almost surely, 248493680 is an apocalyptic number.

48493680 is a gapful number since it is divisible by the number (40) 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 48493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79613952).

48493680 is an abundant number, since it is smaller than the sum of its proper divisors (110734224).

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

48493680 is a wasteful number, since it uses less digits than its factorization.

48493680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 48493680 is about 6963.7403742529. The cubic root of 48493680 is about 364.6658103327.

The spelling of 48493680 in words is "forty-eight million, four hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 43 48 60 74 80 86 111 120 127 129 148 172 185 215 222 240 254 258 296 344 370 381 430 444 508 516 555 592 635 645 688 740 762 860 888 1016 1032 1110 1270 1290 1480 1524 1591 1720 1776 1905 2032 2064 2220 2540 2580 2960 3048 3182 3440 3810 4440 4699 4773 5080 5160 5461 6096 6364 7620 7955 8880 9398 9546 10160 10320 10922 12728 14097 15240 15910 16383 18796 19092 21844 23495 23865 25456 27305 28194 30480 31820 32766 37592 38184 43688 46990 47730 54610 56388 63640 65532 70485 75184 76368 81915 87376 93980 95460 109220 112776 127280 131064 140970 163830 187960 190920 202057 218440 225552 262128 281940 327660 375920 381840 404114 436880 563880 606171 655320 808228 1010285 1127760 1212342 1310640 1616456 2020570 2424684 3030855 3232912 4041140 4849368 6061710 8082280 9698736 12123420 16164560 24246840 48493680