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88034816 = 291391237
BaseRepresentation
bin1010011111101…
…00111000000000
320010122122001202
411033310320000
5140014103231
612422520332
72116166162
oct517647000
9203578052
1088034816
1145769951
12255960a8
131531460c
14b998932
157ade5cb
hex53f4e00

88034816 has 40 divisors (see below), whose sum is σ = 177306360. Its totient is φ = 43665408.

The previous prime is 88034801. The next prime is 88034819. The reversal of 88034816 is 61843088.

It is a self number, because there is not a number n which added to its sum of digits gives 88034816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88034819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70550 + ... + 71786.

It is an arithmetic number, because the mean of its divisors is an integer number (4432659).

Almost surely, 288034816 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 88034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88653180).

88034816 is an abundant number, since it is smaller than the sum of its proper divisors (89271544).

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

88034816 is a wasteful number, since it uses less digits than its factorization.

88034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 88034816 is about 9382.6870351728. The cubic root of 88034816 is about 444.8546695394.

The spelling of 88034816 in words is "eighty-eight million, thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1112 1237 2224 2474 4448 4948 8896 9896 17792 19792 35584 39584 71168 79168 158336 171943 316672 343886 633344 687772 1375544 2751088 5502176 11004352 22008704 44017408 88034816