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48452280 = 23351979269
BaseRepresentation
bin1011100011010…
…1001010111000
310101011122000220
42320311022320
544400433110
64450300040
71125560202
oct270651270
9111148026
1048452280
1125393a08
1214287620
13a065ab6
146613772
1543c1370
hex2e352b8

48452280 has 128 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 12040704.

The previous prime is 48452279. The next prime is 48452281. The reversal of 48452280 is 8225484.

It is a happy number.

48452280 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 (48452279) and next prime (48452281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48452281) 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 31 ways as a sum of consecutive naturals, for example, 179986 + ... + 180254.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 248452280 is an apocalyptic number.

48452280 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 48452280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

48452280 is an abundant number, since it is smaller than the sum of its proper divisors (107067720).

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

48452280 is a wasteful number, since it uses less digits than its factorization.

48452280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 48452280 is about 6960.7671990952. The cubic root of 48452280 is about 364.5620066836.

The spelling of 48452280 in words is "forty-eight million, four hundred fifty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 79 95 114 120 152 158 190 228 237 269 285 316 380 395 456 474 538 570 632 760 790 807 948 1076 1140 1185 1345 1501 1580 1614 1896 2152 2280 2370 2690 3002 3160 3228 4035 4503 4740 5111 5380 6004 6456 7505 8070 9006 9480 10222 10760 12008 15010 15333 16140 18012 20444 21251 22515 25555 30020 30666 32280 36024 40888 42502 45030 51110 60040 61332 63753 76665 85004 90060 102220 106255 122664 127506 153330 170008 180120 204440 212510 255012 306660 318765 403769 425020 510024 613320 637530 807538 850040 1211307 1275060 1615076 2018845 2422614 2550120 3230152 4037690 4845228 6056535 8075380 9690456 12113070 16150760 24226140 48452280