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88809248 = 25111571607
BaseRepresentation
bin1010100101100…
…01111100100000
320012002222101102
411102301330200
5140213343443
612451253532
72125603043
oct522617440
9205088342
1088809248
1146148780
12258aa2a8
1315525c68
14bb1ac5a
157be3cb8
hex54b1f20

88809248 has 48 divisors (see below), whose sum is σ = 192072384. Its totient is φ = 40085760.

The previous prime is 88809221. The next prime is 88809257. The reversal of 88809248 is 84290888.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54461 + ... + 56067.

It is an arithmetic number, because the mean of its divisors is an integer number (4001508).

Almost surely, 288809248 is an apocalyptic number.

88809248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88809248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96036192).

88809248 is an abundant number, since it is smaller than the sum of its proper divisors (103263136).

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

88809248 is a wasteful number, since it uses less digits than its factorization.

88809248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The square root of 88809248 is about 9423.8658734089. The cubic root of 88809248 is about 446.1553079741.

The spelling of 88809248 in words is "eighty-eight million, eight hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 628 1256 1607 1727 2512 3214 3454 5024 6428 6908 12856 13816 17677 25712 27632 35354 51424 55264 70708 141416 252299 282832 504598 565664 1009196 2018392 2775289 4036784 5550578 8073568 11101156 22202312 44404624 88809248