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40899168 = 253431509
BaseRepresentation
bin1001110000000…
…1001001100000
32211221220010000
42130001021200
540432233133
64020340000
71004431362
oct234011140
984856100
1040899168
11210a5172
1211844600
13861cbbb
145608d32
1538cd413
hex2701260

40899168 has 120 divisors (see below), whose sum is σ = 124407360. Its totient is φ = 13167360.

The previous prime is 40899167. The next prime is 40899179. The reversal of 40899168 is 86199804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40899167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80098 + ... + 80606.

It is an arithmetic number, because the mean of its divisors is an integer number (1036728).

Almost surely, 240899168 is an apocalyptic number.

40899168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40899168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

40899168 is an abundant number, since it is smaller than the sum of its proper divisors (83508192).

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

40899168 is a wasteful number, since it uses less digits than its factorization.

40899168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 40899168 is about 6395.2457341372. The cubic root of 40899168 is about 344.5388166740.

The spelling of 40899168 in words is "forty million, eight hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 509 558 648 744 837 864 992 1018 1116 1296 1488 1527 1674 2036 2232 2511 2592 2976 3054 3348 4072 4464 4581 5022 6108 6696 8144 8928 9162 10044 12216 13392 13743 15779 16288 18324 20088 24432 26784 27486 31558 36648 40176 41229 47337 48864 54972 63116 73296 80352 82458 94674 109944 126232 142011 146592 164916 189348 219888 252464 284022 329832 378696 426033 439776 504928 568044 659664 757392 852066 1136088 1278099 1319328 1514784 1704132 2272176 2556198 3408264 4544352 5112396 6816528 10224792 13633056 20449584 40899168