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48890160 = 24325116173
BaseRepresentation
bin1011101010000…
…0000100110000
310101222212200200
42322200010300
5100003441120
64503515200
71132362624
oct272400460
9111885620
1048890160
11256629a0
1214458b00
13a18a1b7
1466c9184
15445ae90
hex2ea0130

48890160 has 120 divisors (see below), whose sum is σ = 179144784. Its totient is φ = 11850240.

The previous prime is 48890141. The next prime is 48890167. The reversal of 48890160 is 6109884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (48890167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4834 + ... + 11006.

Almost surely, 248890160 is an apocalyptic number.

48890160 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 48890160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392).

48890160 is an abundant number, since it is smaller than the sum of its proper divisors (130254624).

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

48890160 is a wasteful number, since it uses less digits than its factorization.

48890160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 48890160 is about 6992.1498839770. The cubic root of 48890160 is about 365.6569391341.

The spelling of 48890160 in words is "forty-eight million, eight hundred ninety thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 6173 7920 12346 18519 24692 30865 37038 49384 55557 61730 67903 74076 92595 98768 111114 123460 135806 148152 185190 203709 222228 246920 271612 277785 296304 339515 370380 407418 444456 493840 543224 555570 611127 679030 740760 814836 888912 1018545 1086448 1111140 1222254 1358060 1481520 1629672 2037090 2222280 2444508 2716120 3055635 3259344 4074180 4444560 4889016 5432240 6111270 8148360 9778032 12222540 16296720 24445080 48890160