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87254244 = 223271131477
BaseRepresentation
bin1010011001101…
…10010011100100
320002011222022200
411030312103210
5134314113434
612354054500
72106435360
oct514662344
9202158280
1087254244
1145286450
122527a430
131510023c
14b8342a0
1579d8199
hex53364e4

87254244 has 72 divisors (see below), whose sum is σ = 274991808. Its totient is φ = 22662720.

The previous prime is 87254239. The next prime is 87254257. The reversal of 87254244 is 44245278.

87254244 is a `hidden beast` number, since 8 + 72 + 542 + 44 = 666.

It is a super-2 number, since 2×872542442 = 15226606192023072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87254199 and 87254208.

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 23 ways as a sum of consecutive naturals, for example, 12967 + ... + 18510.

Almost surely, 287254244 is an apocalyptic number.

87254244 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87254244 is an abundant number, since it is smaller than the sum of its proper divisors (187737564).

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

87254244 is a wasteful number, since it uses less digits than its factorization.

87254244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31505 (or 31500 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 87254244 is about 9340.9980194838. The cubic root of 87254244 is about 443.5359773585.

The spelling of 87254244 in words is "eighty-seven million, two hundred fifty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 31477 62954 94431 125908 188862 220339 283293 346247 377724 440678 566586 661017 692494 881356 1038741 1133172 1322034 1384988 1983051 2077482 2423729 2644068 3116223 3966102 4154964 4847458 6232446 7271187 7932204 9694916 12464892 14542374 21813561 29084748 43627122 87254244