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88409088 = 2103253181
BaseRepresentation
bin1010100010100…
…00010000000000
320011100122110200
411101100100000
5140113042323
612434525200
72122315305
oct521202000
9204318420
1088409088
11459a5069
1225736800
1315415a91
14ba550ac
157b65443
hex5450400

88409088 has 132 divisors (see below), whose sum is σ = 261532908. Its totient is φ = 28753920.

The previous prime is 88409077. The next prime is 88409089. The reversal of 88409088 is 88090488.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 63489024 = 4992^2 + 7968^2 .

It is not an unprimeable number, because it can be changed into a prime (88409089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488358 + ... + 488538.

Almost surely, 288409088 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 88409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130766454).

88409088 is an abundant number, since it is smaller than the sum of its proper divisors (173123820).

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

88409088 is a wasteful number, since it uses less digits than its factorization.

88409088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 88409088 is about 9402.6107012893. The cubic root of 88409088 is about 445.4841979529.

The spelling of 88409088 in words is "eighty-eight million, four hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 181 192 212 256 288 318 362 384 424 477 512 543 576 636 724 768 848 954 1024 1086 1152 1272 1448 1536 1629 1696 1908 2172 2304 2544 2896 3072 3258 3392 3816 4344 4608 5088 5792 6516 6784 7632 8688 9216 9593 10176 11584 13032 13568 15264 17376 19186 20352 23168 26064 27136 28779 30528 34752 38372 40704 46336 52128 54272 57558 61056 69504 76744 81408 86337 92672 104256 115116 122112 139008 153488 162816 172674 185344 208512 230232 244224 278016 306976 345348 417024 460464 488448 556032 613952 690696 834048 920928 1227904 1381392 1668096 1841856 2455808 2762784 3683712 4911616 5525568 7367424 9823232 11051136 14734848 22102272 29469696 44204544 88409088