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87969456 = 2433269757
BaseRepresentation
bin1010011111001…
…00111010110000
320010112022102000
411033210322300
5140010010311
612421254000
72115504501
oct517447260
9203468360
1087969456
1145724833
1225564300
13152c0943
14b97cba8
157aca056
hex53e4eb0

87969456 has 80 divisors (see below), whose sum is σ = 253778400. Its totient is φ = 29175552.

The previous prime is 87969419. The next prime is 87969463. The reversal of 87969456 is 65496978.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115830 + ... + 116586.

It is an arithmetic number, because the mean of its divisors is an integer number (3172230).

Almost surely, 287969456 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 87969456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126889200).

87969456 is an abundant number, since it is smaller than the sum of its proper divisors (165808944).

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

87969456 is a wasteful number, since it uses less digits than its factorization.

87969456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 87969456 is about 9379.2033776862. The cubic root of 87969456 is about 444.7445506073.

The spelling of 87969456 in words is "eighty-seven million, nine hundred sixty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 269 432 538 757 807 1076 1514 1614 2152 2271 2421 3028 3228 4304 4542 4842 6056 6456 6813 7263 9084 9684 12112 12912 13626 14526 18168 19368 20439 27252 29052 36336 38736 40878 54504 58104 81756 109008 116208 163512 203633 327024 407266 610899 814532 1221798 1629064 1832697 2443596 3258128 3665394 4887192 5498091 7330788 9774384 10996182 14661576 21992364 29323152 43984728 87969456