Search a number
-
+
48746100 = 223521329431
BaseRepresentation
bin1011100111110…
…0111001110100
310101201120002010
42321330321310
544434333400
64500444220
71131222624
oct271747164
9111646063
1048746100
1125574737
12143a9670
13a139760
14668c884
15442d450
hex2e7ce74

48746100 has 144 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 11558400.

The previous prime is 48746099. The next prime is 48746111. The reversal of 48746100 is 164784.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112885 + ... + 113315.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 248746100 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 48746100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

48746100 is an abundant number, since it is smaller than the sum of its proper divisors (108743820).

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

48746100 is a wasteful number, since it uses less digits than its factorization.

48746100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 48746100 is about 6981.8407314977. The cubic root of 48746100 is about 365.2974369186.

The spelling of 48746100 in words is "forty-eight million, seven hundred forty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 290 300 325 348 377 390 431 435 580 650 725 754 780 862 870 975 1131 1293 1300 1450 1508 1724 1740 1885 1950 2155 2175 2262 2586 2900 3770 3900 4310 4350 4524 5172 5603 5655 6465 7540 8620 8700 9425 10775 11206 11310 12499 12930 16809 18850 21550 22412 22620 24998 25860 28015 28275 32325 33618 37497 37700 43100 49996 56030 56550 62495 64650 67236 74994 84045 112060 113100 124990 129300 140075 149988 162487 168090 187485 249980 280150 312475 324974 336180 374970 420225 487461 560300 624950 649948 749940 812435 840450 937425 974922 1249900 1624870 1680900 1874850 1949844 2437305 3249740 3749700 4062175 4874610 8124350 9749220 12186525 16248700 24373050 48746100