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41028288 = 2637489
BaseRepresentation
bin1001110010000…
…0101011000000
32212012110020020
42130200223000
541000401123
64023213440
71005510000
oct234405300
985173206
1041028288
1121183184
12118a7280
1386668c2
145640000
1539067e3
hex2720ac0

41028288 has 140 divisors (see below), whose sum is σ = 128061720. Its totient is φ = 11590656.

The previous prime is 41028287. The next prime is 41028313. The reversal of 41028288 is 88282014.

It is not an unprimeable number, because it can be changed into a prime (41028287) 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, 460948 + ... + 461036.

Almost surely, 241028288 is an apocalyptic number.

41028288 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 41028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64030860).

41028288 is an abundant number, since it is smaller than the sum of its proper divisors (87033432).

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

41028288 is an frugal number, since it uses more digits than its factorization.

41028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 41028288 is about 6405.3327782403. The cubic root of 41028288 is about 344.9010091964.

The spelling of 41028288 in words is "forty-one million, twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 89 96 98 112 147 168 178 192 196 224 267 294 336 343 356 392 448 534 588 623 672 686 712 784 1029 1068 1176 1246 1344 1372 1424 1568 1869 2058 2136 2352 2401 2492 2744 2848 3136 3738 4116 4272 4361 4704 4802 4984 5488 5696 7203 7476 8232 8544 8722 9408 9604 9968 10976 13083 14406 14952 16464 17088 17444 19208 19936 21952 26166 28812 29904 30527 32928 34888 38416 39872 52332 57624 59808 61054 65856 69776 76832 91581 104664 115248 119616 122108 139552 153664 183162 209328 213689 230496 244216 279104 366324 418656 427378 460992 488432 641067 732648 837312 854756 976864 1282134 1465296 1709512 1953728 2564268 2930592 3419024 5128536 5861184 6838048 10257072 13676096 20514144 41028288