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70488 = 23321189
BaseRepresentation
bin10001001101011000
310120200200
4101031120
54223423
61302200
7412335
oct211530
9116620
1070488
1148a60
1234960
1326112
141b98c
1515d43
hex11358

70488 has 48 divisors (see below), whose sum is σ = 210600. Its totient is φ = 21120.

The previous prime is 70487. The next prime is 70489. The reversal of 70488 is 88407.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70487) and next prime (70489).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 748 + ... + 836.

270488 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 70488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105300).

70488 is an abundant number, since it is smaller than the sum of its proper divisors (140112).

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

70488 is a wasteful number, since it uses less digits than its factorization.

70488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 70488 is about 265.4957626781. The cubic root of 70488 is about 41.3084021232.

It can be divided in two parts, 7048 and 8, that added together give a square (7056 = 842).

The spelling of 70488 in words is "seventy thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 89 99 132 178 198 264 267 356 396 534 712 792 801 979 1068 1602 1958 2136 2937 3204 3916 5874 6408 7832 8811 11748 17622 23496 35244 70488