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87270352 = 24134779113
BaseRepresentation
bin1010011001110…
…10001111010000
320002012210102021
411030322033100
5134320122402
612354301224
72106533341
oct514721720
9202183367
1087270352
1145297564
1225287814
1315107680
14b83a0c8
1579dcd37
hex533a3d0

87270352 has 80 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 38578176.

The previous prime is 87270311. The next prime is 87270371. The reversal of 87270352 is 25307278.

It is a super-2 number, since 2×872703522 = 15232228676407808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772248 + ... + 772360.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 287270352 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 87270352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

87270352 is an abundant number, since it is smaller than the sum of its proper divisors (102717488).

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

87270352 is a wasteful number, since it uses less digits than its factorization.

87270352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 87270352 is about 9341.8602001957. The cubic root of 87270352 is about 443.5632693946.

The spelling of 87270352 in words is "eighty-seven million, two hundred seventy thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 47 52 79 94 104 113 158 188 208 226 316 376 452 611 632 752 904 1027 1222 1264 1469 1808 2054 2444 2938 3713 4108 4888 5311 5876 7426 8216 8927 9776 10622 11752 14852 16432 17854 21244 23504 29704 35708 42488 48269 59408 69043 71416 84976 96538 116051 138086 142832 193076 232102 276172 386152 419569 464204 552344 772304 839138 928408 1104688 1678276 1856816 3356552 5454397 6713104 10908794 21817588 43635176 87270352