Search a number
-
+
88197728 = 2531671327
BaseRepresentation
bin1010100000111…
…00101001100000
320010221220112112
411100130221200
5140034311403
612430214452
72120445143
oct520345140
9203856475
1088197728
1145870293
1225654428
1315370808
14b9dc05a
157b229d8
hex541ca60

88197728 has 48 divisors (see below), whose sum is σ = 182052864. Its totient is φ = 42007680.

The previous prime is 88197727. The next prime is 88197731. The reversal of 88197728 is 82779188.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88197727) 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, 65801 + ... + 67127.

It is an arithmetic number, because the mean of its divisors is an integer number (3792768).

Almost surely, 288197728 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 88197728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91026432).

88197728 is an abundant number, since it is smaller than the sum of its proper divisors (93855136).

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

88197728 is a wasteful number, since it uses less digits than its factorization.

88197728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1427 counting only the distinct ones).

The product of its digits is 451584, while the sum is 50.

The square root of 88197728 is about 9391.3645440905. The cubic root of 88197728 is about 445.1289076529.

The spelling of 88197728 in words is "eighty-eight million, one hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 67 124 134 248 268 496 536 992 1072 1327 2077 2144 2654 4154 5308 8308 10616 16616 21232 33232 41137 42464 66464 82274 88909 164548 177818 329096 355636 658192 711272 1316384 1422544 2756179 2845088 5512358 11024716 22049432 44098864 88197728