Search a number
-
+
88982640 = 24325831489
BaseRepresentation
bin1010100110111…
…00010001110000
320012102210020100
411103130101300
5140234421030
612455112400
72130224415
oct523342160
9205383210
1088982640
1146256a7a
1225972700
1315586b66
14bb6410c
157c2a360
hex54dc470

88982640 has 120 divisors (see below), whose sum is σ = 302636880. Its totient is φ = 23427072.

The previous prime is 88982629. The next prime is 88982671. The reversal of 88982640 is 4628988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59016 + ... + 60504.

It is an arithmetic number, because the mean of its divisors is an integer number (2521974).

Almost surely, 288982640 is an apocalyptic number.

88982640 is a gapful number since it is divisible by the number (80) 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 88982640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151318440).

88982640 is an abundant number, since it is smaller than the sum of its proper divisors (213654240).

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

88982640 is a wasteful number, since it uses less digits than its factorization.

88982640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 88982640 is about 9433.0610090256. The cubic root of 88982640 is about 446.4454784667.

The spelling of 88982640 in words is "eighty-eight million, nine hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 360 415 498 664 720 747 830 996 1245 1328 1489 1494 1660 1992 2490 2978 2988 3320 3735 3984 4467 4980 5956 5976 6640 7445 7470 8934 9960 11912 11952 13401 14890 14940 17868 19920 22335 23824 26802 29780 29880 35736 44670 53604 59560 59760 67005 71472 89340 107208 119120 123587 134010 178680 214416 247174 268020 357360 370761 494348 536040 617935 741522 988696 1072080 1112283 1235870 1483044 1853805 1977392 2224566 2471740 2966088 3707610 4449132 4943480 5561415 5932176 7415220 8898264 9886960 11122830 14830440 17796528 22245660 29660880 44491320 88982640