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40998384 = 2432789457
BaseRepresentation
bin1001110001100…
…1010111110000
32212010221012200
42130121113300
540443422014
64022423200
71005323550
oct234312760
985127180
1040998384
1121162769
1211891b00
1386560cb
145633160
1538eca09
hex27195f0

40998384 has 120 divisors (see below), whose sum is σ = 132893280. Its totient is φ = 11556864.

The previous prime is 40998359. The next prime is 40998389. The reversal of 40998384 is 48389904.

It is a happy number.

40998384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×409983842 = 3361734981222912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40998389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89484 + ... + 89940.

It is an arithmetic number, because the mean of its divisors is an integer number (1107444).

Almost surely, 240998384 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 40998384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66446640).

40998384 is an abundant number, since it is smaller than the sum of its proper divisors (91894896).

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

40998384 is a wasteful number, since it uses less digits than its factorization.

40998384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 40998384 is about 6402.9980477898. The cubic root of 40998384 is about 344.8171936381.

The spelling of 40998384 in words is "forty million, nine hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 267 336 356 457 504 534 623 712 801 914 1008 1068 1246 1371 1424 1602 1828 1869 2136 2492 2742 3199 3204 3656 3738 4113 4272 4984 5484 5607 6398 6408 7312 7476 8226 9597 9968 10968 11214 12796 12816 14952 16452 19194 21936 22428 25592 28791 29904 32904 38388 40673 44856 51184 57582 65808 76776 81346 89712 115164 122019 153552 162692 230328 244038 284711 325384 366057 460656 488076 569422 650768 732114 854133 976152 1138844 1464228 1708266 1952304 2277688 2562399 2928456 3416532 4555376 5124798 5856912 6833064 10249596 13666128 20499192 40998384