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87220848 = 243111397131
BaseRepresentation
bin1010011001011…
…10001001110000
320002010021111210
411030232021300
5134312031343
612353240120
72106236121
oct514561160
9202107453
1087220848
1145263350
1225263040
13150bac90
14b826048
1579cd333
hex532e270

87220848 has 160 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 23961600.

The previous prime is 87220843. The next prime is 87220871. The reversal of 87220848 is 84802278.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87220841) 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, 665743 + ... + 665873.

Almost surely, 287220848 is an apocalyptic number.

87220848 is a gapful number since it is divisible by the number (88) 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 87220848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).

87220848 is an abundant number, since it is smaller than the sum of its proper divisors (182261904).

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

87220848 is a wasteful number, since it uses less digits than its factorization.

87220848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 87220848 is about 9339.2102449832. The cubic root of 87220848 is about 443.4793832912.

The spelling of 87220848 in words is "eighty-seven million, two hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 97 104 131 132 143 156 176 194 208 262 264 286 291 312 388 393 429 524 528 572 582 624 776 786 858 1048 1067 1144 1164 1261 1441 1552 1572 1703 1716 2096 2134 2288 2328 2522 2882 3144 3201 3406 3432 3783 4268 4323 4656 5044 5109 5764 6288 6402 6812 6864 7566 8536 8646 10088 10218 11528 12707 12804 13624 13871 15132 17072 17292 18733 20176 20436 23056 25414 25608 27248 27742 30264 34584 37466 38121 40872 41613 50828 51216 55484 56199 60528 69168 74932 76242 81744 83226 101656 110968 112398 139777 149864 152484 165191 166452 203312 221936 224796 279554 299728 304968 330382 332904 419331 449592 495573 559108 609936 660764 665808 838662 899184 991146 1118216 1321528 1677324 1817101 1982292 2236432 2643056 3354648 3634202 3964584 5451303 6709296 7268404 7929168 10902606 14536808 21805212 29073616 43610424 87220848