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48391680 = 29356301
BaseRepresentation
bin1011100010011…
…0011000000000
310101001112220110
42320212120000
544342013210
64445111320
71125215421
oct270463000
9111045813
1048391680
1125352427
1214258540
13a04433c
1465d9648
1543ad420
hex2e26600

48391680 has 80 divisors (see below), whose sum is σ = 154726704. Its totient is φ = 12902400.

The previous prime is 48391663. The next prime is 48391697. The reversal of 48391680 is 8619384.

It is an interprime number because it is at equal distance from previous prime (48391663) and next prime (48391697).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4530 + ... + 10830.

Almost surely, 248391680 is an apocalyptic number.

48391680 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 48391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77363352).

48391680 is an abundant number, since it is smaller than the sum of its proper divisors (106335024).

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

48391680 is an equidigital number, since it uses as much as digits as its factorization.

48391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 48391680 is about 6956.4128687133. The cubic root of 48391680 is about 364.4099555350.

The spelling of 48391680 in words is "forty-eight million, three hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 6301 7680 12602 18903 25204 31505 37806 50408 63010 75612 94515 100816 126020 151224 189030 201632 252040 302448 378060 403264 504080 604896 756120 806528 1008160 1209792 1512240 1613056 2016320 2419584 3024480 3226112 4032640 4839168 6048960 8065280 9678336 12097920 16130560 24195840 48391680