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48340160 = 2651131443
BaseRepresentation
bin1011100001100…
…1110011000000
310100221221020022
42320121303000
544333341120
64444033012
71124612261
oct270316300
9110857208
1048340160
1125317750
1214232768
13a026a5b
1465c4968
15439d025
hex2e19cc0

48340160 has 112 divisors (see below), whose sum is σ = 129917952. Its totient is φ = 16972800.

The previous prime is 48340151. The next prime is 48340183. The reversal of 48340160 is 6104384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108899 + ... + 109341.

Almost surely, 248340160 is an apocalyptic number.

48340160 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 48340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64958976).

48340160 is an abundant number, since it is smaller than the sum of its proper divisors (81577792).

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

48340160 is a wasteful number, since it uses less digits than its factorization.

48340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 48340160 is about 6952.7088246237. The cubic root of 48340160 is about 364.2805871013.

The spelling of 48340160 in words is "forty-eight million, three hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 443 496 620 682 704 880 886 992 1240 1364 1705 1760 1772 1984 2215 2480 2728 3410 3520 3544 4430 4873 4960 5456 6820 7088 8860 9746 9920 10912 13640 13733 14176 17720 19492 21824 24365 27280 27466 28352 35440 38984 48730 54560 54932 68665 70880 77968 97460 109120 109864 137330 141760 151063 155936 194920 219728 274660 302126 311872 389840 439456 549320 604252 755315 779680 878912 1098640 1208504 1510630 1559360 2197280 2417008 3021260 4394560 4834016 6042520 9668032 12085040 24170080 48340160