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48280284 = 223213711453
BaseRepresentation
bin1011100000101…
…1001011011100
310100211220002200
42320023023130
544324432114
64442451500
71124242563
oct270131334
9110756080
1048280284
1125286768
1214203b90
13a005720
1465aabda
15438a409
hex2e0b2dc

48280284 has 72 divisors (see below), whose sum is σ = 133372512. Its totient is φ = 14636160.

The previous prime is 48280283. The next prime is 48280291. The reversal of 48280284 is 48208284.

48280284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48280283) 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, 32502 + ... + 33954.

It is an arithmetic number, because the mean of its divisors is an integer number (1852396).

Almost surely, 248280284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48280284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66686256).

48280284 is an abundant number, since it is smaller than the sum of its proper divisors (85092228).

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

48280284 is a wasteful number, since it uses less digits than its factorization.

48280284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 48280284 is about 6948.4015428010. The cubic root of 48280284 is about 364.1301209311.

The spelling of 48280284 in words is "forty-eight million, two hundred eighty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1453 1846 2556 2769 2906 3692 4359 5538 5812 8307 8718 11076 13077 16614 17436 18889 26154 33228 37778 52308 56667 75556 103163 113334 170001 206326 226668 309489 340002 412652 618978 680004 928467 1237956 1341119 1856934 2682238 3713868 4023357 5364476 8046714 12070071 16093428 24140142 48280284