Search a number
-
+
48951900 = 223252109499
BaseRepresentation
bin1011101010111…
…1001001011100
310102010000101100
42322233021130
5100012430100
64505113100
71133040624
oct272571134
9112100340
1048951900
11256a5318
1214488790
13a1ac32a
146703884
15446e400
hex2eaf25c

48951900 has 108 divisors (see below), whose sum is σ = 155155000. Its totient is φ = 12908160.

The previous prime is 48951899. The next prime is 48951911. The reversal of 48951900 is 915984.

It is a super-2 number, since 2×489519002 = 4792577027220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97851 + ... + 98349.

Almost surely, 248951900 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 48951900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77577500).

48951900 is an abundant number, since it is smaller than the sum of its proper divisors (106203100).

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

48951900 is a wasteful number, since it uses less digits than its factorization.

48951900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 48951900 is about 6996.5634421479. The cubic root of 48951900 is about 365.8107953361.

The spelling of 48951900 in words is "forty-eight million, nine hundred fifty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 499 545 654 900 981 998 1090 1308 1497 1635 1962 1996 2180 2495 2725 2994 3270 3924 4491 4905 4990 5450 5988 6540 7485 8175 8982 9810 9980 10900 12475 14970 16350 17964 19620 22455 24525 24950 29940 32700 37425 44910 49050 49900 54391 74850 89820 98100 108782 112275 149700 163173 217564 224550 271955 326346 449100 489519 543910 652692 815865 979038 1087820 1359775 1631730 1958076 2447595 2719550 3263460 4079325 4895190 5439100 8158650 9790380 12237975 16317300 24475950 48951900