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48880000 = 27541347
BaseRepresentation
bin1011101001110…
…1100110000000
310101222100202101
42322131212000
5100003130000
64503400144
71132321201
oct272354600
9111870671
1048880000
11256562a4
1214453054
13a1856a0
1466c55a8
154457e6a
hex2e9d980

48880000 has 160 divisors (see below), whose sum is σ = 133832160. Its totient is φ = 17664000.

The previous prime is 48879983. The next prime is 48880001. The reversal of 48880000 is 8884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48880001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039977 + ... + 1040023.

It is an arithmetic number, because the mean of its divisors is an integer number (836451).

Almost surely, 248880000 is an apocalyptic number.

48880000 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 48880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66916080).

48880000 is an abundant number, since it is smaller than the sum of its proper divisors (84952160).

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

48880000 is an equidigital number, since it uses as much as digits as its factorization.

48880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 48880000 is about 6991.4233171794. The cubic root of 48880000 is about 365.6316079844.

Adding to 48880000 its reverse (8884), we get a palindrome (48888884).

The spelling of 48880000 in words is "forty-eight million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 47 50 52 64 65 80 94 100 104 125 128 130 160 188 200 208 235 250 260 320 325 376 400 416 470 500 520 611 625 640 650 752 800 832 940 1000 1040 1175 1222 1250 1300 1504 1600 1625 1664 1880 2000 2080 2350 2444 2500 2600 3008 3055 3200 3250 3760 4000 4160 4700 4888 5000 5200 5875 6016 6110 6500 7520 8000 8125 8320 9400 9776 10000 10400 11750 12220 13000 15040 15275 16000 16250 18800 19552 20000 20800 23500 24440 26000 29375 30080 30550 32500 37600 39104 40000 41600 47000 48880 52000 58750 61100 65000 75200 76375 78208 80000 94000 97760 104000 117500 122200 130000 150400 152750 188000 195520 208000 235000 244400 260000 305500 376000 381875 391040 470000 488800 520000 611000 752000 763750 940000 977600 1040000 1222000 1527500 1880000 1955200 2444000 3055000 3760000 4888000 6110000 9776000 12220000 24440000 48880000