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48300516 = 223311109373
BaseRepresentation
bin1011100001000…
…0000111100100
310100212220212000
42320100013210
544331104031
64443125300
71124355555
oct270200744
9110786760
1048300516
112529a990
1214213830
13a0119b4
1465b432c
1543913e6
hex2e101e4

48300516 has 96 divisors (see below), whose sum is σ = 138230400. Its totient is φ = 14463360.

The previous prime is 48300493. The next prime is 48300517. The reversal of 48300516 is 61500384.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 48300516.

It is not an unprimeable number, because it can be changed into a prime (48300517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129306 + ... + 129678.

It is an arithmetic number, because the mean of its divisors is an integer number (1439900).

Almost surely, 248300516 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 48300516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69115200).

48300516 is an abundant number, since it is smaller than the sum of its proper divisors (89929884).

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

48300516 is a wasteful number, since it uses less digits than its factorization.

48300516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 48300516 is about 6949.8572647213. The cubic root of 48300516 is about 364.1809771065.

The spelling of 48300516 in words is "forty-eight million, three hundred thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 109 132 198 218 297 327 373 396 436 594 654 746 981 1119 1188 1199 1308 1492 1962 2238 2398 2943 3357 3597 3924 4103 4476 4796 5886 6714 7194 8206 10071 10791 11772 12309 13428 14388 16412 20142 21582 24618 32373 36927 40284 40657 43164 49236 64746 73854 81314 110781 121971 129492 147708 162628 221562 243942 365913 443124 447227 487884 731826 894454 1097739 1341681 1463652 1788908 2195478 2683362 4025043 4390956 5366724 8050086 12075129 16100172 24150258 48300516