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87962028 = 223711234139
BaseRepresentation
bin1010011111000…
…11000110101100
320010111221012220
411033203012230
5140004241103
612421155340
72115444030
oct517430654
9203457186
1087962028
114571a1a0
122555bb50
13152ba44b
14b97a1c0
157ac7c53
hex53e31ac

87962028 has 96 divisors (see below), whose sum is σ = 267079680. Its totient is φ = 21848640.

The previous prime is 87962009. The next prime is 87962057. The reversal of 87962028 is 82026978.

It is a happy number.

87962028 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

87962028 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19183 + ... + 23321.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 287962028 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 87962028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

87962028 is an abundant number, since it is smaller than the sum of its proper divisors (179117652).

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

87962028 is a wasteful number, since it uses less digits than its factorization.

87962028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 87962028 is about 9378.8073868696. The cubic root of 87962028 is about 444.7320324158.

The spelling of 87962028 in words is "eighty-seven million, nine hundred sixty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 3036 3542 4139 5313 7084 8278 10626 12417 16556 21252 24834 28973 45529 49668 57946 86919 91058 95197 115892 136587 173838 182116 190394 273174 285591 318703 347676 380788 546348 571182 637406 666379 956109 1047167 1142364 1274812 1332758 1912218 1999137 2094334 2665516 3141501 3824436 3998274 4188668 6283002 7330169 7996548 12566004 14660338 21990507 29320676 43981014 87962028