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48228516 = 223272353157
BaseRepresentation
bin1011011111111…
…0100010100100
310100202021002100
42313332202210
544321303031
64441412100
71123635630
oct267764244
9110667070
1048228516
1125250886
121419a030
139cb7cab
146595dc0
154379de6
hex2dfe8a4

48228516 has 144 divisors (see below), whose sum is σ = 149071104. Its totient is φ = 12849408.

The previous prime is 48228461. The next prime is 48228553. The reversal of 48228516 is 61582284.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307110 + ... + 307266.

It is an arithmetic number, because the mean of its divisors is an integer number (1035216).

Almost surely, 248228516 is an apocalyptic number.

48228516 is a gapful number since it is divisible by the number (46) 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 48228516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74535552).

48228516 is an abundant number, since it is smaller than the sum of its proper divisors (100842588).

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

48228516 is a wasteful number, since it uses less digits than its factorization.

48228516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 48228516 is about 6944.6753703827. The cubic root of 48228516 is about 363.9999295576. Note that the first 4 decimals are identical.

The spelling of 48228516 in words is "forty-eight million, two hundred twenty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 53 63 69 84 92 106 126 138 157 159 161 207 212 252 276 314 318 322 371 414 471 477 483 628 636 644 742 828 942 954 966 1099 1113 1219 1413 1449 1484 1884 1908 1932 2198 2226 2438 2826 2898 3297 3339 3611 3657 4396 4452 4876 5652 5796 6594 6678 7222 7314 8321 8533 9891 10833 10971 13188 13356 14444 14628 16642 17066 19782 21666 21942 24963 25277 25599 32499 33284 34132 39564 43332 43884 49926 50554 51198 58247 64998 74889 75831 76797 99852 101108 102396 116494 129996 149778 151662 153594 174741 191383 227493 232988 299556 303324 307188 349482 382766 454986 524223 574149 698964 765532 909972 1048446 1148298 1339681 1722447 2096892 2296596 2679362 3444894 4019043 5358724 6889788 8038086 12057129 16076172 24114258 48228516