Search a number
-
+
87397024 = 25111371269
BaseRepresentation
bin1010011010110…
…01001010100000
320002110020011211
411031121022200
5134333201044
612401115504
72110601551
oct515311240
9202406154
1087397024
1145373750
1225328b94
1315150220
14b870328
157a15634
hex53592a0

87397024 has 96 divisors (see below), whose sum is σ = 205752960. Its totient is φ = 36019200.

The previous prime is 87397007. The next prime is 87397061. The reversal of 87397024 is 42079378.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324762 + ... + 325030.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 287397024 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 87397024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480).

87397024 is an abundant number, since it is smaller than the sum of its proper divisors (118355936).

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

87397024 is a wasteful number, since it uses less digits than its factorization.

87397024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 87397024 is about 9348.6375477927. The cubic root of 87397024 is about 443.7777747873. Note that the first 5 decimals are identical.

The spelling of 87397024 in words is "eighty-seven million, three hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 71 88 104 142 143 176 208 269 284 286 352 416 538 568 572 781 923 1076 1136 1144 1562 1846 2152 2272 2288 2959 3124 3497 3692 4304 4576 5918 6248 6994 7384 8608 10153 11836 12496 13988 14768 19099 20306 23672 24992 27976 29536 38198 38467 40612 47344 55952 76396 76934 81224 94688 111904 152792 153868 162448 210089 248287 305584 307736 324896 420178 496574 611168 615472 840356 993148 1230944 1680712 1986296 2731157 3361424 3972592 5462314 6722848 7945184 10924628 21849256 43698512 87397024