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87249780 = 223251728513
BaseRepresentation
bin1010011001101…
…01001101110100
320002011202012100
411030311031310
5134313443110
612354022100
72106416352
oct514651564
9202152170
1087249780
1145283062
1225277930
13150cb1b7
14b8327d2
1579d6bc0
hex5335374

87249780 has 72 divisors (see below), whose sum is σ = 280235592. Its totient is φ = 21897216.

The previous prime is 87249751. The next prime is 87249793. The reversal of 87249780 is 8794278.

87249780 is a `hidden beast` number, since 87 + 2 + 497 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41525136 + 45724644 = 6444^2 + 6762^2 .

It is a super-2 number, since 2×872497802 = 15225048220096800, which contains 22 as substring.

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, 11197 + ... + 17316.

It is an arithmetic number, because the mean of its divisors is an integer number (3892161).

Almost surely, 287249780 is an apocalyptic number.

It is an amenable number.

87249780 is an abundant number, since it is smaller than the sum of its proper divisors (192985812).

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

87249780 is a wasteful number, since it uses less digits than its factorization.

87249780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28545 (or 28540 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87249780 is about 9340.7590697973. The cubic root of 87249780 is about 443.5284133392.

The spelling of 87249780 in words is "eighty-seven million, two hundred forty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 28513 57026 85539 114052 142565 171078 256617 285130 342156 427695 484721 513234 570260 855390 969442 1026468 1283085 1454163 1710780 1938884 2423605 2566170 2908326 4362489 4847210 5132340 5816652 7270815 8724978 9694420 14541630 17449956 21812445 29083260 43624890 87249780