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87988224 = 211314321
BaseRepresentation
bin1010011111010…
…01100000000000
320010120021011010
411033221200000
5140011110344
612421520520
72115613302
oct517514000
9203507133
1087988224
1145737945
1225573140
13152c934c
14b985972
157ad08b9
hex53e9800

87988224 has 48 divisors (see below), whose sum is σ = 234594360. Its totient is φ = 29327360.

The previous prime is 87988223. The next prime is 87988231. The reversal of 87988224 is 42288978.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87988223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1017 + ... + 13304.

Almost surely, 287988224 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 87988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117297180).

87988224 is an abundant number, since it is smaller than the sum of its proper divisors (146606136).

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

87988224 is a wasteful number, since it uses less digits than its factorization.

87988224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346 (or 14326 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 87988224 is about 9380.2038357383. The cubic root of 87988224 is about 444.7761766306.

The spelling of 87988224 in words is "eighty-seven million, nine hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 14321 28642 42963 57284 85926 114568 171852 229136 343704 458272 687408 916544 1374816 1833088 2749632 3666176 5499264 7332352 10998528 14664704 21997056 29329408 43994112 87988224