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48849120 = 2532533923
BaseRepresentation
bin1011101001011…
…0000011100000
310101220210101200
42322112003200
5100001132440
64503001200
71132132155
oct272260340
9111823350
1048849120
1125635081
1214439200
13a174608
1466b822c
15444dc30
hex2e960e0

48849120 has 72 divisors (see below), whose sum is σ = 166702536. Its totient is φ = 13026048.

The previous prime is 48849107. The next prime is 48849173. The reversal of 48849120 is 2194884.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15522 + ... + 18401.

It is an arithmetic number, because the mean of its divisors is an integer number (2315313).

Almost surely, 248849120 is an apocalyptic number.

48849120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48849120 is an abundant number, since it is smaller than the sum of its proper divisors (117853416).

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

48849120 is a wasteful number, since it uses less digits than its factorization.

48849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33944 (or 33933 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 48849120 is about 6989.2145481449. The cubic root of 48849120 is about 365.5545956922.

The spelling of 48849120 in words is "forty-eight million, eight hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 33923 67846 101769 135692 169615 203538 271384 305307 339230 407076 508845 542768 610614 678460 814152 1017690 1085536 1221228 1356920 1526535 1628304 2035380 2442456 2713840 3053070 3256608 4070760 4884912 5427680 6106140 8141520 9769824 12212280 16283040 24424560 48849120