Search a number
-
+
88420416 = 263765789
BaseRepresentation
bin1010100010100…
…11000001000000
320011101020000020
411101103001000
5140113423131
612435053440
72122363320
oct521230100
9204336006
1088420416
1145a02627
1225741280
131541ac96
14ba59280
157b68996
hex5453040

88420416 has 56 divisors (see below), whose sum is σ = 267370560. Its totient is φ = 25262592.

The previous prime is 88420411. The next prime is 88420429. The reversal of 88420416 is 61402488.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×884204162 = 15636339931226112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88420411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31551 + ... + 34238.

Almost surely, 288420416 is an apocalyptic number.

It is an amenable number.

88420416 is an abundant number, since it is smaller than the sum of its proper divisors (178950144).

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

88420416 is a wasteful number, since it uses less digits than its factorization.

88420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65811 (or 65801 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 88420416 is about 9403.2130678827. The cubic root of 88420416 is about 445.5032240115.

The spelling of 88420416 in words is "eighty-eight million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 65789 131578 197367 263156 394734 460523 526312 789468 921046 1052624 1381569 1578936 1842092 2105248 2763138 3157872 3684184 4210496 5526276 6315744 7368368 11052552 12631488 14736736 22105104 29473472 44210208 88420416