Search a number
-
+
87204984 = 23319312199
BaseRepresentation
bin1010011001010…
…10010001111000
320002002110202020
411030222101320
5134311024414
612353034440
72106141636
oct514522170
9202073666
1087204984
1145252439
1225255a20
13150b39a9
14b820356
1579c87a9
hex532a478

87204984 has 96 divisors (see below), whose sum is σ = 238320000. Its totient is φ = 26516160.

The previous prime is 87204977. The next prime is 87205033. The reversal of 87204984 is 48940278.

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, 438117 + ... + 438315.

It is an arithmetic number, because the mean of its divisors is an integer number (2482500).

Almost surely, 287204984 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 87204984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119160000).

87204984 is an abundant number, since it is smaller than the sum of its proper divisors (151115016).

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

87204984 is a wasteful number, since it uses less digits than its factorization.

87204984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87204984 is about 9338.3608840096. The cubic root of 87204984 is about 443.4524945229.

It can be divided in two parts, 87204 and 984, that added together give a palindrome (88188).

The spelling of 87204984 in words is "eighty-seven million, two hundred four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 199 228 248 372 398 456 589 597 744 796 961 1178 1194 1592 1767 1922 2356 2388 2883 3534 3781 3844 4712 4776 5766 6169 7068 7562 7688 11343 11532 12338 14136 15124 18259 18507 22686 23064 24676 30248 36518 37014 45372 49352 54777 73036 74028 90744 109554 117211 146072 148056 191239 219108 234422 351633 382478 438216 468844 573717 703266 764956 937688 1147434 1406532 1529912 2294868 2813064 3633541 4589736 7267082 10900623 14534164 21801246 29068328 43602492 87204984