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48303680 = 265236563
BaseRepresentation
bin1011100001000…
…0111001000000
310100220002012012
42320100321000
544331204210
64443152052
71124401025
oct270207100
9110802165
1048303680
11252a22a7
1214215628
13a013279
1465b554c
154392305
hex2e10e40

48303680 has 56 divisors (see below), whose sum is σ = 120042432. Its totient is φ = 18478592.

The previous prime is 48303659. The next prime is 48303683. The reversal of 48303680 is 8630384.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (48303683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4079 + ... + 10641.

Almost surely, 248303680 is an apocalyptic number.

48303680 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 48303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60021216).

48303680 is an abundant number, since it is smaller than the sum of its proper divisors (71738752).

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

48303680 is a wasteful number, since it uses less digits than its factorization.

48303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 48303680 is about 6950.0848915679. The cubic root of 48303680 is about 364.1889290122.

The spelling of 48303680 in words is "forty-eight million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 6563 7360 13126 26252 32815 52504 65630 105008 131260 150949 210016 262520 301898 420032 525040 603796 754745 1050080 1207592 1509490 2100160 2415184 3018980 4830368 6037960 9660736 12075920 24151840 48303680