Search a number
-
+
88738440 = 23357149709
BaseRepresentation
bin1010100101000…
…00101010001000
320011222101020220
411102200222020
5140204112230
612445550040
72125156440
oct522405210
9204871226
1088738440
11460aa55a
1225875320
13154cc96b
14badd120
157bccd10
hex54a0a88

88738440 has 128 divisors (see below), whose sum is σ = 306720000. Its totient is φ = 20118528.

The previous prime is 88738423. The next prime is 88738457. The reversal of 88738440 is 4483788.

It is an interprime number because it is at equal distance from previous prime (88738423) and next prime (88738457).

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

It is a junction number, because it is equal to n+sod(n) for n = 88738392 and 88738401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124806 + ... + 125514.

It is an arithmetic number, because the mean of its divisors is an integer number (2396250).

Almost surely, 288738440 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 88738440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153360000).

88738440 is an abundant number, since it is smaller than the sum of its proper divisors (217981560).

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

88738440 is a wasteful number, since it uses less digits than its factorization.

88738440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 88738440 is about 9420.1082796325. The cubic root of 88738440 is about 446.0367025906.

The spelling of 88738440 in words is "eighty-eight million, seven hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 149 168 210 280 298 420 447 596 709 745 840 894 1043 1192 1418 1490 1788 2086 2127 2235 2836 2980 3129 3545 3576 4172 4254 4470 4963 5215 5672 5960 6258 7090 8344 8508 8940 9926 10430 10635 12516 14180 14889 15645 17016 17880 19852 20860 21270 24815 25032 28360 29778 31290 39704 41720 42540 49630 59556 62580 74445 85080 99260 105641 119112 125160 148890 198520 211282 297780 316923 422564 528205 595560 633846 739487 845128 1056410 1267692 1478974 1584615 2112820 2218461 2535384 2957948 3169230 3697435 4225640 4436922 5915896 6338460 7394870 8873844 11092305 12676920 14789740 17747688 22184610 29579480 44369220 88738440