Search a number
-
+
88489856 = 2771371107
BaseRepresentation
bin1010100011000…
…11111110000000
320011111202021002
411101203332000
5140123133411
612440351132
72123102630
oct521437600
9204452232
1088489856
1145a4a814
12257754a8
1315443780
14ba766c0
157b7e33b
hex5463f80

88489856 has 128 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 34191360.

The previous prime is 88489853. The next prime is 88489889. The reversal of 88489856 is 65898488.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×884898562 = 15660909229801472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88489853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826955 + ... + 827061.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 288489856 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 88489856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

88489856 is an abundant number, since it is smaller than the sum of its proper divisors (133592704).

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

88489856 is a wasteful number, since it uses less digits than its factorization.

88489856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 56.

The square root of 88489856 is about 9406.9046981459. The cubic root of 88489856 is about 445.6198171788.

The spelling of 88489856 in words is "eighty-eight million, four hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 71 91 104 107 112 128 142 182 208 214 224 284 364 416 428 448 497 568 728 749 832 856 896 923 994 1136 1391 1456 1498 1664 1712 1846 1988 2272 2782 2912 2996 3424 3692 3976 4544 5564 5824 5992 6461 6848 7384 7597 7952 9088 9737 11128 11648 11984 12922 13696 14768 15194 15904 19474 22256 23968 25844 29536 30388 31808 38948 44512 47936 51688 53179 59072 60776 63616 77896 89024 95872 98761 103376 106358 118144 121552 155792 178048 197522 206752 212716 243104 311584 395044 413504 425432 486208 623168 691327 790088 827008 850864 972416 1246336 1382654 1580176 1701728 2765308 3160352 3403456 5530616 6320704 6806912 11061232 12641408 22122464 44244928 88489856