Search a number
-
+
88909440 = 273546307
BaseRepresentation
bin1010100110010…
…10011010000000
320012022001211020
411103022122000
5140230100230
612453345440
72126501124
oct523123200
9205261736
1088909440
1146206a84
1225938280
131555c749
14bb45584
157c13810
hex54ca680

88909440 has 64 divisors (see below), whose sum is σ = 283404960. Its totient is φ = 23708672.

The previous prime is 88909433. The next prime is 88909441. The reversal of 88909440 is 4490988.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×889094402 = 15809777042227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 88909392 and 88909401.

It is not an unprimeable number, because it can be changed into a prime (88909441) 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, 21234 + ... + 25073.

Almost surely, 288909440 is an apocalyptic number.

88909440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88909440 is an abundant number, since it is smaller than the sum of its proper divisors (194495520).

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

88909440 is a wasteful number, since it uses less digits than its factorization.

88909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46329 (or 46317 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 88909440 is about 9429.1802400845. The cubic root of 88909440 is about 446.3230247152.

The spelling of 88909440 in words is "eighty-eight million, nine hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 46307 92614 138921 185228 231535 277842 370456 463070 555684 694605 740912 926140 1111368 1389210 1481824 1852280 2222736 2778420 2963648 3704560 4445472 5556840 5927296 7409120 8890944 11113680 14818240 17781888 22227360 29636480 44454720 88909440