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48110720 = 275710739
BaseRepresentation
bin1011011110000…
…1110010000000
310100112021111112
42313201302000
544304020340
64435102452
71122635330
oct267416200
9110467445
1048110720
1125180329
1214141a28
139c764a8
1465650c0
154355065
hex2de1c80

48110720 has 64 divisors (see below), whose sum is σ = 131457600. Its totient is φ = 16493568.

The previous prime is 48110719. The next prime is 48110737. The reversal of 48110720 is 2701184.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 890 + ... + 9849.

It is an arithmetic number, because the mean of its divisors is an integer number (2054025).

Almost surely, 248110720 is an apocalyptic number.

48110720 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 48110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65728800).

48110720 is an abundant number, since it is smaller than the sum of its proper divisors (83346880).

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

48110720 is a wasteful number, since it uses less digits than its factorization.

48110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10765 (or 10753 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 48110720 is about 6936.1891554369. The cubic root of 48110720 is about 363.7033367553.

The spelling of 48110720 in words is "forty-eight million, one hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 10739 21478 42956 53695 75173 85912 107390 150346 171824 214780 300692 343648 375865 429560 601384 687296 751730 859120 1202768 1374592 1503460 1718240 2405536 3006920 3436480 4811072 6013840 6872960 9622144 12027680 24055360 48110720