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88121484 = 2232111931153
BaseRepresentation
bin1010100000010…
…10000010001100
320010211000221200
411100022002030
5140024341414
612424425500
72120006643
oct520120214
9203730850
1088121484
1145818a80
1225618290
1315344bb9
14b9bc35a
157b0a109
hex540a08c

88121484 has 72 divisors (see below), whose sum is σ = 244472592. Its totient is φ = 26542080.

The previous prime is 88121483. The next prime is 88121497. The reversal of 88121484 is 48412188.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88121483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75852 + ... + 77004.

Almost surely, 288121484 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 88121484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122236296).

88121484 is an abundant number, since it is smaller than the sum of its proper divisors (156351108).

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

88121484 is a wasteful number, since it uses less digits than its factorization.

88121484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1362 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 88121484 is about 9387.3044054191. The cubic root of 88121484 is about 445.0006043000. Note that the first 3 decimals are identical.

It can be divided in two parts, 8812 and 1484, that added together give a triangular number (10296 = T143).

The spelling of 88121484 in words is "eighty-eight million, one hundred twenty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 193 198 386 396 579 772 1153 1158 1737 2123 2306 2316 3459 3474 4246 4612 6369 6918 6948 8492 10377 12683 12738 13836 19107 20754 25366 25476 38049 38214 41508 50732 76098 76428 114147 152196 222529 228294 445058 456588 667587 890116 1335174 2002761 2447819 2670348 4005522 4895638 7343457 8011044 9791276 14686914 22030371 29373828 44060742 88121484