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48662320 = 2457113769
BaseRepresentation
bin1011100110100…
…0011100110000
310101120022011011
42321220130300
544424143240
64455000304
71130423440
oct271503460
9111508134
1048662320
11255177a3
1214369094
13a10a595
14666a120
1544136ea
hex2e68730

48662320 has 80 divisors (see below), whose sum is σ = 130616640. Its totient is φ = 16515072.

The previous prime is 48662309. The next prime is 48662329. The reversal of 48662320 is 2326684.

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

It is a super-3 number, since 3×486623203 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48662329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62896 + ... + 63664.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 248662320 is an apocalyptic number.

48662320 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 48662320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

48662320 is an abundant number, since it is smaller than the sum of its proper divisors (81954320).

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

48662320 is a wasteful number, since it uses less digits than its factorization.

48662320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 48662320 is about 6975.8383008783. The cubic root of 48662320 is about 365.0880378116.

The spelling of 48662320 in words is "forty-eight million, six hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 140 226 280 452 560 565 769 791 904 1130 1538 1582 1808 2260 3076 3164 3845 3955 4520 5383 6152 6328 7690 7910 9040 10766 12304 12656 15380 15820 21532 26915 30760 31640 43064 53830 61520 63280 86128 86897 107660 173794 215320 347588 430640 434485 608279 695176 868970 1216558 1390352 1737940 2433116 3041395 3475880 4866232 6082790 6951760 9732464 12165580 24331160 48662320