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87249393 = 357114663
BaseRepresentation
bin1010011001101…
…01000111110001
320002011201200000
411030311013301
5134313440033
612354020213
72106415260
oct514650761
9202151600
1087249393
1145282840
1225277669
13150cac7a
14b8325d7
1579d6a13
hex53351f1

87249393 has 48 divisors (see below), whose sum is σ = 162978816. Its totient is φ = 45314640.

The previous prime is 87249359. The next prime is 87249397. The reversal of 87249393 is 39394278.

It is a happy number.

87249393 is a `hidden beast` number, since 8 + 72 + 493 + 93 = 666.

It is not a de Polignac number, because 87249393 - 26 = 87249329 is a prime.

It is a super-2 number, since 2×872493932 = 15224913157736898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87249397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16380 + ... + 21042.

It is an arithmetic number, because the mean of its divisors is an integer number (3395392).

Almost surely, 287249393 is an apocalyptic number.

It is an amenable number.

87249393 is a deficient number, since it is larger than the sum of its proper divisors (75729423).

87249393 is a wasteful number, since it uses less digits than its factorization.

87249393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4684 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 87249393 is about 9340.7383541131. The cubic root of 87249393 is about 443.5277575754.

The spelling of 87249393 in words is "eighty-seven million, two hundred forty-nine thousand, three hundred ninety-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 891 1701 2079 2673 4663 6237 13989 18711 32641 41967 51293 97923 125901 153879 293769 359051 377703 461637 881307 1077153 1133109 1384911 2643921 3231459 4154733 7931763 9694377 12464199 29083131 87249393