Search a number
-
+
88929408 = 2732310069
BaseRepresentation
bin1010100110011…
…11010010000000
320012100002012210
411103033102000
5140231220113
612454022120
72126613261
oct523172200
9205302183
1088929408
114621aa87
1225947940
1315568869
14bb4c968
157c196c3
hex54cf480

88929408 has 64 divisors (see below), whose sum is σ = 246513600. Its totient is φ = 28351488.

The previous prime is 88929391. The next prime is 88929413. The reversal of 88929408 is 80492988.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3798 + ... + 13866.

It is an arithmetic number, because the mean of its divisors is an integer number (3851775).

Almost surely, 288929408 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 88929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123256800).

88929408 is an abundant number, since it is smaller than the sum of its proper divisors (157584192).

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

88929408 is a wasteful number, since it uses less digits than its factorization.

88929408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 88929408 is about 9430.2390213610. The cubic root of 88929408 is about 446.3564351571.

The spelling of 88929408 in words is "eighty-eight million, nine hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 10069 20138 30207 40276 60414 80552 120828 161104 231587 241656 322208 463174 483312 644416 694761 926348 966624 1288832 1389522 1852696 1933248 2779044 3705392 3866496 5558088 7410784 11116176 14821568 22232352 29643136 44464704 88929408