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41157396 = 2235723263
BaseRepresentation
bin1001110100000…
…0001100010100
32212110000100000
42131000030110
541014014041
64030051300
71006555260
oct235001424
985400300
1041157396
1121261185
1211949b30
1386b05b7
1456750a0
15392ebb6
hex2740314

41157396 has 144 divisors (see below), whose sum is σ = 129153024. Its totient is φ = 11205216.

The previous prime is 41157377. The next prime is 41157421. The reversal of 41157396 is 69375114.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41157396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156361 + ... + 156623.

It is an arithmetic number, because the mean of its divisors is an integer number (896896).

Almost surely, 241157396 is an apocalyptic number.

41157396 is a gapful number since it is divisible by the number (46) 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 41157396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64576512).

41157396 is an abundant number, since it is smaller than the sum of its proper divisors (87995628).

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

41157396 is a wasteful number, since it uses less digits than its factorization.

41157396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 41157396 is about 6415.4030270903. The cubic root of 41157396 is about 345.2624090552.

It can be divided in two parts, 4115 and 7396, that added together give a palindrome (11511).

The spelling of 41157396 in words is "forty-one million, one hundred fifty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 243 252 263 276 322 324 378 414 483 486 526 567 621 644 756 789 828 966 972 1052 1134 1242 1449 1578 1701 1841 1863 1932 2268 2367 2484 2898 3156 3402 3682 3726 4347 4734 5523 5589 5796 6049 6804 7101 7364 7452 8694 9468 11046 11178 12098 13041 14202 16569 17388 18147 21303 22092 22356 24196 26082 28404 33138 36294 39123 42343 42606 49707 52164 54441 63909 66276 72588 78246 84686 85212 99414 108882 127029 127818 149121 156492 163323 169372 198828 217764 254058 255636 298242 326646 381087 447363 489969 508116 596484 653292 762174 894726 979938 1143261 1469907 1524348 1789452 1959876 2286522 2939814 3429783 4573044 5879628 6859566 10289349 13719132 20578698 41157396