Search a number
-
+
87398352 = 243659127
BaseRepresentation
bin1010011010110…
…01011111010000
320002110022000000
411031121133100
5134333221402
612401130000
72110605456
oct515313720
9202408000
1087398352
1145374748
1225329900
1315150a02
14b8709d6
157a15c1c
hex53597d0

87398352 has 140 divisors (see below), whose sum is σ = 260221440. Its totient is φ = 28413504.

The previous prime is 87398341. The next prime is 87398357. The reversal of 87398352 is 25389378.

It is a junction number, because it is equal to n+sod(n) for n = 87398298 and 87398307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87398357) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 688113 + ... + 688239.

Almost surely, 287398352 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 87398352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130110720).

87398352 is an abundant number, since it is smaller than the sum of its proper divisors (172823088).

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

87398352 is a wasteful number, since it uses less digits than its factorization.

87398352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 87398352 is about 9348.7085739154. The cubic root of 87398352 is about 443.7800225141.

It can be divided in two parts, 873 and 98352, that added together give a square (99225 = 3152).

The spelling of 87398352 in words is "eighty-seven million, three hundred ninety-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 127 144 162 177 216 236 243 254 324 354 381 432 472 486 508 531 648 708 729 762 944 972 1016 1062 1143 1296 1416 1458 1524 1593 1944 2032 2124 2286 2832 2916 3048 3186 3429 3888 4248 4572 4779 5832 6096 6372 6858 7493 8496 9144 9558 10287 11664 12744 13716 14337 14986 18288 19116 20574 22479 25488 27432 28674 29972 30861 38232 41148 43011 44958 54864 57348 59944 61722 67437 76464 82296 86022 89916 92583 114696 119888 123444 134874 164592 172044 179832 185166 202311 229392 246888 269748 344088 359664 370332 404622 493776 539496 606933 688176 740664 809244 1078992 1213866 1481328 1618488 1820799 2427732 3236976 3641598 4855464 5462397 7283196 9710928 10924794 14566392 21849588 29132784 43699176 87398352