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48770880 = 2635101503
BaseRepresentation
bin1011101000001…
…0111101000000
310101202211001220
42322002331000
544441132010
64501155040
71131355104
oct272027500
9111684056
1048770880
1125591314
12143bba80
13a147b12
146697904
154435970
hex2e82f40

48770880 has 112 divisors (see below), whose sum is σ = 156691584. Its totient is φ = 12851200.

The previous prime is 48770873. The next prime is 48770881. The reversal of 48770880 is 8807784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48770881) by changing a digit.

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, 96709 + ... + 97211.

It is an arithmetic number, because the mean of its divisors is an integer number (1399032).

Almost surely, 248770880 is an apocalyptic number.

48770880 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 48770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78345792).

48770880 is an abundant number, since it is smaller than the sum of its proper divisors (107920704).

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

48770880 is a wasteful number, since it uses less digits than its factorization.

48770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 48770880 is about 6983.6151096692. The cubic root of 48770880 is about 365.3593258837.

The spelling of 48770880 in words is "forty-eight million, seven hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 503 505 606 808 960 1006 1010 1212 1509 1515 1616 2012 2020 2424 2515 3018 3030 3232 4024 4040 4848 5030 6036 6060 6464 7545 8048 8080 9696 10060 12072 12120 15090 16096 16160 19392 20120 24144 24240 30180 32192 32320 40240 48288 48480 50803 60360 80480 96576 96960 101606 120720 152409 160960 203212 241440 254015 304818 406424 482880 508030 609636 762045 812848 1016060 1219272 1524090 1625696 2032120 2438544 3048180 3251392 4064240 4877088 6096360 8128480 9754176 12192720 16256960 24385440 48770880