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48161344 = 2671129337
BaseRepresentation
bin1011011110111…
…0001001000000
310100121211221111
42313232021000
544312130334
64440133104
71123236040
oct267561100
9110554844
1048161344
1125205370
1214167194
139c9354a
146579720
154365064
hex2dee240

48161344 has 112 divisors (see below), whose sum is σ = 123626880. Its totient is φ = 18063360.

The previous prime is 48161339. The next prime is 48161353. The reversal of 48161344 is 44316184.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142744 + ... + 143080.

Almost surely, 248161344 is an apocalyptic number.

48161344 is a gapful number since it is divisible by the number (44) 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 48161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61813440).

48161344 is an abundant number, since it is smaller than the sum of its proper divisors (75465536).

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

48161344 is a wasteful number, since it uses less digits than its factorization.

48161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 48161344 is about 6939.8374620736. The cubic root of 48161344 is about 363.8308597100.

The spelling of 48161344 in words is "forty-eight million, one hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 154 176 203 224 232 308 319 337 352 406 448 464 616 638 674 704 812 928 1232 1276 1348 1624 1856 2233 2359 2464 2552 2696 3248 3707 4466 4718 4928 5104 5392 6496 7414 8932 9436 9773 10208 10784 12992 14828 17864 18872 19546 20416 21568 25949 29656 35728 37744 39092 51898 59312 68411 71456 75488 78184 103796 107503 118624 136822 142912 150976 156368 207592 215006 237248 273644 312736 415184 430012 547288 625472 752521 830368 860024 1094576 1505042 1660736 1720048 2189152 3010084 3440096 4378304 6020168 6880192 12040336 24080672 48161344