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40047168 = 263783359
BaseRepresentation
bin1001100011000…
…1001001000000
32210100121101110
42120301021000
540223002133
63550203320
7664252410
oct230611100
983317343
1040047168
1120673037
12114b3540
1383b2165
145466640
1537b0c63
hex2631240

40047168 has 112 divisors (see below), whose sum is σ = 122895360. Its totient is φ = 11272704.

The previous prime is 40047157. The next prime is 40047169. The reversal of 40047168 is 86174004.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (40047169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111373 + ... + 111731.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 240047168 is an apocalyptic number.

40047168 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 40047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

40047168 is an abundant number, since it is smaller than the sum of its proper divisors (82848192).

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

40047168 is a wasteful number, since it uses less digits than its factorization.

40047168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 40047168 is about 6328.2831795045. The cubic root of 40047168 is about 342.1295634403.

The spelling of 40047168 in words is "forty million, forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 166 168 192 224 249 332 336 359 448 498 581 664 672 718 996 1077 1162 1328 1344 1436 1743 1992 2154 2324 2513 2656 2872 3486 3984 4308 4648 5026 5312 5744 6972 7539 7968 8616 9296 10052 11488 13944 15078 15936 17232 18592 20104 22976 27888 29797 30156 34464 37184 40208 55776 59594 60312 68928 80416 89391 111552 119188 120624 160832 178782 208579 238376 241248 357564 417158 476752 482496 625737 715128 834316 953504 1251474 1430256 1668632 1907008 2502948 2860512 3337264 5005896 5721024 6674528 10011792 13349056 20023584 40047168