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48213720 = 23325199673
BaseRepresentation
bin1011011111101…
…0111011011000
310100201111210100
42313322323120
544320314340
64441215400
71123544532
oct267727330
9110644710
1048213720
1125240755
1214191560
139cb1339
146590852
154375830
hex2dfaed8

48213720 has 96 divisors (see below), whose sum is σ = 157716000. Its totient is φ = 12773376.

The previous prime is 48213719. The next prime is 48213721. The reversal of 48213720 is 2731284.

It is an interprime number because it is at equal distance from previous prime (48213719) and next prime (48213721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48213721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71304 + ... + 71976.

It is an arithmetic number, because the mean of its divisors is an integer number (1642875).

Almost surely, 248213720 is an apocalyptic number.

48213720 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 48213720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78858000).

48213720 is an abundant number, since it is smaller than the sum of its proper divisors (109502280).

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

48213720 is a wasteful number, since it uses less digits than its factorization.

48213720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 48213720 is about 6943.6100120903. The cubic root of 48213720 is about 363.9627019707.

The spelling of 48213720 in words is "forty-eight million, two hundred thirteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 199 360 398 597 673 796 995 1194 1346 1592 1791 1990 2019 2388 2692 2985 3365 3582 3980 4038 4776 5384 5970 6057 6730 7164 7960 8076 8955 10095 11940 12114 13460 14328 16152 17910 20190 23880 24228 26920 30285 35820 40380 48456 60570 71640 80760 121140 133927 242280 267854 401781 535708 669635 803562 1071416 1205343 1339270 1607124 2008905 2410686 2678540 3214248 4017810 4821372 5357080 6026715 8035620 9642744 12053430 16071240 24106860 48213720