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87404031 = 321113113601
BaseRepresentation
bin1010011010110…
…10110111111111
320002110120210100
411031122313333
5134333412111
612401212143
72110631151
oct515326777
9202416710
1087404031
1145378a40
1225331053
1315153480
14b872ad1
157a17756
hex535adff

87404031 has 48 divisors (see below), whose sum is σ = 149883552. Its totient is φ = 48384000.

The previous prime is 87404029. The next prime is 87404059. The reversal of 87404031 is 13040478.

87404031 is a nontrivial binomial coefficient, being equal to C(13222, 2).

It is not a de Polignac number, because 87404031 - 21 = 87404029 is a prime.

It is a super-2 number, since 2×874040312 = 15278929270097922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87403986 and 87404004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87404131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145131 + ... + 145731.

It is an arithmetic number, because the mean of its divisors is an integer number (3122574).

Almost surely, 287404031 is an apocalyptic number.

87404031 is the 13221-st triangular number and also the 6611-st hexagonal number.

87404031 is a deficient number, since it is larger than the sum of its proper divisors (62479521).

87404031 is a wasteful number, since it uses less digits than its factorization.

87404031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 87404031 is about 9349.0123007727. The cubic root of 87404031 is about 443.7896343360.

The spelling of 87404031 in words is "eighty-seven million, four hundred four thousand, thirty-one".

Divisors: 1 3 9 11 13 33 39 99 113 117 143 339 429 601 1017 1243 1287 1469 1803 3729 4407 5409 6611 7813 11187 13221 16159 19833 23439 48477 59499 67913 70317 85943 145431 203739 257829 611217 747043 773487 882869 2241129 2648607 6723387 7945821 9711559 29134677 87404031