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88866816 = 2183113
BaseRepresentation
bin1010100110000…
…00000000000000
320012012220100120
411103000000000
5140222214231
612452420240
72126232633
oct523000000
9205186316
1088866816
1146187a55
1225917680
131554621c
14bb33c1a
157c05d96
hex54c0000

88866816 has 76 divisors (see below), whose sum is σ = 239074872. Its totient is φ = 29360128.

The previous prime is 88866797. The next prime is 88866821. The reversal of 88866816 is 61866888.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 786376 + ... + 786488.

It is an arithmetic number, because the mean of its divisors is an integer number (3145722).

Almost surely, 288866816 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 88866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119537436).

88866816 is an abundant number, since it is smaller than the sum of its proper divisors (150208056).

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

88866816 is an frugal number, since it uses more digits than its factorization.

88866816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 88866816 is about 9426.9197514352. The cubic root of 88866816 is about 446.2516895322.

The spelling of 88866816 in words is "eighty-eight million, eight hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 768 904 1024 1356 1536 1808 2048 2712 3072 3616 4096 5424 6144 7232 8192 10848 12288 14464 16384 21696 24576 28928 32768 43392 49152 57856 65536 86784 98304 115712 131072 173568 196608 231424 262144 347136 393216 462848 694272 786432 925696 1388544 1851392 2777088 3702784 5554176 7405568 11108352 14811136 22216704 29622272 44433408 88866816