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48992160 = 2535722083
BaseRepresentation
bin1011101011100…
…0111110100000
310102012001121110
42322320332200
5100020222120
64510023320
71133266200
oct272707640
9112161543
1048992160
1125722598
12144a7b40
13a1c4759
146714400
15447b2e0
hex2eb8fa0

48992160 has 144 divisors (see below), whose sum is σ = 179607456. Its totient is φ = 11192832.

The previous prime is 48992149. The next prime is 48992173. The reversal of 48992160 is 6129984.

It is a super-4 number, since 4×489921604 (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22479 + ... + 24561.

It is an arithmetic number, because the mean of its divisors is an integer number (1247274).

Almost surely, 248992160 is an apocalyptic number.

48992160 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 48992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89803728).

48992160 is an abundant number, since it is smaller than the sum of its proper divisors (130615296).

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

48992160 is a wasteful number, since it uses less digits than its factorization.

48992160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 48992160 is about 6999.4399775982. The cubic root of 48992160 is about 365.9110536642.

The spelling of 48992160 in words is "forty-eight million, nine hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2083 2352 2940 3360 3920 4166 4704 5880 6249 7840 8332 10415 11760 12498 14581 16664 20830 23520 24996 29162 31245 33328 41660 43743 49992 58324 62490 66656 72905 83320 87486 99984 102067 116648 124980 145810 166640 174972 199968 204134 218715 233296 249960 291620 306201 333280 349944 408268 437430 466592 499920 510335 583240 612402 699888 816536 874860 999840 1020670 1166480 1224804 1399776 1531005 1633072 1749720 2041340 2332960 2449608 3062010 3266144 3499440 4082680 4899216 6124020 6998880 8165360 9798432 12248040 16330720 24496080 48992160