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48211080 = 2335412239
BaseRepresentation
bin1011011111101…
…0010010001000
310100201101011120
42313322102020
544320223310
64441155240
71123534041
oct267722210
9110641146
1048211080
1125239775
121418bb20
139cb0088
14658d8c8
154374b70
hex2dfa488

48211080 has 96 divisors (see below), whose sum is σ = 148867200. Its totient is φ = 12490240.

The previous prime is 48211073. The next prime is 48211087. The reversal of 48211080 is 8011284.

48211080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48211073) and next prime (48211087).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 48211080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48211087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201601 + ... + 201839.

It is an arithmetic number, because the mean of its divisors is an integer number (1550700).

Almost surely, 248211080 is an apocalyptic number.

48211080 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 48211080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74433600).

48211080 is an abundant number, since it is smaller than the sum of its proper divisors (100656120).

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

48211080 is a wasteful number, since it uses less digits than its factorization.

48211080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 48211080 is about 6943.4199066454. The cubic root of 48211080 is about 363.9560587782.

The spelling of 48211080 in words is "forty-eight million, two hundred eleven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 239 246 328 410 478 492 615 717 820 956 984 1195 1230 1434 1640 1681 1912 2390 2460 2868 3362 3585 4780 4920 5043 5736 6724 7170 8405 9560 9799 10086 13448 14340 16810 19598 20172 25215 28680 29397 33620 39196 40344 48995 50430 58794 67240 78392 97990 100860 117588 146985 195980 201720 235176 293970 391960 401759 587940 803518 1175880 1205277 1607036 2008795 2410554 3214072 4017590 4821108 6026385 8035180 9642216 12052770 16070360 24105540 48211080