Search a number
-
+
48495160 = 23573137151
BaseRepresentation
bin1011100011111…
…1101000111000
310101020210212001
42320333220320
544403321120
64451230344
71126126210
oct270775070
9111223761
1048495160
112541314a
12142a83b4
13a07c47c
146625240
1543cde0a
hex2e3fa38

48495160 has 128 divisors (see below), whose sum is σ = 133079040. Its totient is φ = 15552000.

The previous prime is 48495133. The next prime is 48495173. The reversal of 48495160 is 6159484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 321085 + ... + 321235.

It is an arithmetic number, because the mean of its divisors is an integer number (1039680).

Almost surely, 248495160 is an apocalyptic number.

48495160 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 48495160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66539520).

48495160 is an abundant number, since it is smaller than the sum of its proper divisors (84583880).

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

48495160 is a wasteful number, since it uses less digits than its factorization.

48495160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 48495160 is about 6963.8466381735. The cubic root of 48495160 is about 364.6695200939.

The spelling of 48495160 in words is "forty-eight million, four hundred ninety-five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 37 40 56 62 70 74 124 140 148 151 155 185 217 248 259 280 296 302 310 370 434 518 604 620 740 755 868 1036 1057 1085 1147 1208 1240 1295 1480 1510 1736 2072 2114 2170 2294 2590 3020 4228 4340 4588 4681 5180 5285 5587 5735 6040 8029 8456 8680 9176 9362 10360 10570 11174 11470 16058 18724 21140 22348 22940 23405 27935 32116 32767 37448 39109 40145 42280 44696 45880 46810 55870 64232 65534 78218 80290 93620 111740 131068 156436 160580 163835 173197 187240 195545 223480 262136 312872 321160 327670 346394 391090 655340 692788 782180 865985 1212379 1310680 1385576 1564360 1731970 2424758 3463940 4849516 6061895 6927880 9699032 12123790 24247580 48495160