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87048704 = 291773137
BaseRepresentation
bin1010011000001…
…00001000000000
320001210112101002
411030010020000
5134241024304
612345431132
72104621211
oct514041000
9201715332
1087048704
1145155a86
122519b4a8
131505a812
14b7bd408
15799731e
hex5304200

87048704 has 80 divisors (see below), whose sum is σ = 188043768. Its totient is φ = 40108032.

The previous prime is 87048701. The next prime is 87048707. The reversal of 87048704 is 40784078.

It is an interprime number because it is at equal distance from previous prime (87048701) and next prime (87048707).

It can be written as a sum of positive squares in 4 ways, for example, as 84640000 + 2408704 = 9200^2 + 1552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87048701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635324 + ... + 635460.

Almost surely, 287048704 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 87048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94021884).

87048704 is an abundant number, since it is smaller than the sum of its proper divisors (100995064).

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

87048704 is a wasteful number, since it uses less digits than its factorization.

87048704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 87048704 is about 9329.9894962427. The cubic root of 87048704 is about 443.1874324700.

The spelling of 87048704 in words is "eighty-seven million, forty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 128 136 137 146 256 272 274 292 512 544 548 584 1088 1096 1168 1241 2176 2192 2329 2336 2482 4352 4384 4658 4672 4964 8704 8768 9316 9344 9928 10001 17536 18632 18688 19856 20002 35072 37264 37376 39712 40004 70144 74528 79424 80008 149056 158848 160016 170017 298112 317696 320032 340034 596224 635392 640064 680068 1192448 1280128 1360136 2560256 2720272 5120512 5440544 10881088 21762176 43524352 87048704