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48528216 = 23321171863
BaseRepresentation
bin1011100100011…
…1101101011000
310101022111012100
42321013231120
544410400331
64452043400
71126324452
oct271075530
9111274170
1048528216
1125435a70
1214303560
13a091529
1466332d2
1543d8ae6
hex2e47b58

48528216 has 96 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 14481600.

The previous prime is 48528211. The next prime is 48528247. The reversal of 48528216 is 61282584.

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 (48528211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55801 + ... + 56663.

It is an arithmetic number, because the mean of its divisors is an integer number (1516320).

Almost surely, 248528216 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 48528216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72783360).

48528216 is an abundant number, since it is smaller than the sum of its proper divisors (97038504).

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

48528216 is a wasteful number, since it uses less digits than its factorization.

48528216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 950 counting only the distinct ones).

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

The square root of 48528216 is about 6966.2196347804. The cubic root of 48528216 is about 364.7523584484.

The spelling of 48528216 in words is "forty-eight million, five hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 568 639 781 792 852 863 1278 1562 1704 1726 2343 2556 2589 3124 3452 4686 5112 5178 6248 6904 7029 7767 9372 9493 10356 14058 15534 18744 18986 20712 28116 28479 31068 37972 56232 56958 61273 62136 75944 85437 113916 122546 170874 183819 227832 245092 341748 367638 490184 551457 674003 683496 735276 1102914 1348006 1470552 2022009 2205828 2696012 4044018 4411656 5392024 6066027 8088036 12132054 16176072 24264108 48528216