Search a number
-
+
88419912 = 2337323467
BaseRepresentation
bin1010100010100…
…10111001001000
320011101012022120
411101102321020
5140113414122
612435051240
72122362000
oct521227110
9204335276
1088419912
1145a02209
1225740b20
131541a999
14ba59000
157b6875c
hex5452e48

88419912 has 128 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 24112704.

The previous prime is 88419887. The next prime is 88419913. The reversal of 88419912 is 21991488.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (88419913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189103 + ... + 189569.

It is an arithmetic number, because the mean of its divisors is an integer number (2106000).

Almost surely, 288419912 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 88419912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

88419912 is an abundant number, since it is smaller than the sum of its proper divisors (181148088).

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

88419912 is a wasteful number, since it uses less digits than its factorization.

88419912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 502 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 88419912 is about 9403.1862684943. The cubic root of 88419912 is about 445.5023775477.

The spelling of 88419912 in words is "eighty-eight million, four hundred nineteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 343 392 467 483 552 588 644 686 934 966 1029 1127 1176 1288 1372 1401 1868 1932 2058 2254 2744 2802 3269 3381 3736 3864 4116 4508 5604 6538 6762 7889 8232 9016 9807 10741 11208 13076 13524 15778 19614 21482 22883 23667 26152 27048 31556 32223 39228 42964 45766 47334 63112 64446 68649 75187 78456 85928 91532 94668 128892 137298 150374 160181 183064 189336 225561 257784 274596 300748 320362 451122 480543 526309 549192 601496 640724 902244 961086 1052618 1281448 1578927 1804488 1922172 2105236 3157854 3684163 3844344 4210472 6315708 7368326 11052489 12631416 14736652 22104978 29473304 44209956 88419912