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401215232 = 281117329
BaseRepresentation
bin10111111010100…
…000111100000000
31000221221211211102
4113322200330000
51310202341412
6103451233532
712641162465
oct2772407400
91027854742
10401215232
11196525a40
12b24488a8
1365178782
143b3dd66c
15253538c2
hex17ea0f00

401215232 has 144 divisors (see below), whose sum is σ = 960271200. Its totient is φ = 165724160.

The previous prime is 401215231. The next prime is 401215291. The reversal of 401215232 is 232512104.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401215231) 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 15 ways as a sum of consecutive naturals, for example, 13834994 + ... + 13835022.

It is an arithmetic number, because the mean of its divisors is an integer number (6668550).

Almost surely, 2401215232 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 401215232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480135600).

401215232 is an abundant number, since it is smaller than the sum of its proper divisors (559055968).

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

401215232 is an equidigital number, since it uses as much as digits as its factorization.

401215232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 401215232 is about 20030.3577601600. The cubic root of 401215232 is about 737.5517041985.

Adding to 401215232 its reverse (232512104), we get a palindrome (633727336).

The spelling of 401215232 in words is "four hundred one million, two hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 64 68 88 116 128 136 176 187 232 256 272 289 319 352 374 464 493 544 578 638 704 748 928 986 1088 1156 1276 1408 1496 1856 1972 2176 2312 2552 2816 2992 3179 3712 3944 4352 4624 4913 5104 5423 5984 6358 7424 7888 8381 9248 9826 10208 10846 11968 12716 15776 16762 18496 19652 20416 21692 23936 25432 31552 33524 36992 39304 40832 43384 47872 50864 54043 63104 67048 73984 78608 81664 86768 92191 101728 108086 126208 134096 142477 157216 173536 184382 203456 216172 268192 284954 314432 347072 368764 406912 432344 536384 569908 628864 694144 737528 813824 864688 1072768 1139816 1257728 1388288 1475056 1567247 1729376 2145536 2279632 2950112 3134494 3458752 4559264 5900224 6268988 6917504 9118528 11800448 12537976 13835008 18237056 23600896 25075952 36474112 50151904 100303808 200607616 401215232