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88298144 = 25111371831
BaseRepresentation
bin1010100001101…
…01001010100000
320011011000021122
411100311022200
5140101020034
612432311412
72121343664
oct520651240
9204130248
1088298144
1145929780
12256a2568
13153a742c
14ba268a4
157b4262e
hex54352a0

88298144 has 48 divisors (see below), whose sum is σ = 191128896. Its totient is φ = 39820800.

The previous prime is 88298141. The next prime is 88298179. The reversal of 88298144 is 44189288.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 88298095 and 88298104.

It is not an unprimeable number, because it can be changed into a prime (88298141) 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, 47309 + ... + 49139.

It is an arithmetic number, because the mean of its divisors is an integer number (3981852).

Almost surely, 288298144 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 88298144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95564448).

88298144 is an abundant number, since it is smaller than the sum of its proper divisors (102830752).

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

88298144 is a wasteful number, since it uses less digits than its factorization.

88298144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1981 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 88298144 is about 9396.7092112079. The cubic root of 88298144 is about 445.2977748589.

The spelling of 88298144 in words is "eighty-eight million, two hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 1096 1507 1831 2192 3014 3662 4384 6028 7324 12056 14648 20141 24112 29296 40282 48224 58592 80564 161128 250847 322256 501694 644512 1003388 2006776 2759317 4013552 5518634 8027104 11037268 22074536 44149072 88298144