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401119992 = 233371320407
BaseRepresentation
bin10111111010001…
…001101011111000
31000221210000012000
4113322021223320
51310141314432
6103445221000
712640315020
oct2772115370
91027700160
10401119992
11196470429
12b2401760
1365144310
143b3b6a80
152533557c
hex17e89af8

401119992 has 128 divisors (see below), whose sum is σ = 1371417600. Its totient is φ = 105784704.

The previous prime is 401119919. The next prime is 401120003. The reversal of 401119992 is 299911104.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9453 + ... + 29859.

It is an arithmetic number, because the mean of its divisors is an integer number (10714200).

Almost surely, 2401119992 is an apocalyptic number.

401119992 is a gapful number since it is divisible by the number (42) 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 401119992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685708800).

401119992 is an abundant number, since it is smaller than the sum of its proper divisors (970297608).

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

401119992 is a wasteful number, since it uses less digits than its factorization.

401119992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20442 (or 20432 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 401119992 is about 20027.9802276715. The cubic root of 401119992 is about 737.4933398613.

The spelling of 401119992 in words is "four hundred one million, one hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 20407 40814 61221 81628 122442 142849 163256 183663 244884 265291 285698 367326 428547 489768 530582 550989 571396 734652 795873 857094 1061164 1101978 1142792 1285641 1469304 1591746 1714188 1857037 2122328 2203956 2387619 2571282 3183492 3428376 3714074 3856923 4407912 4775238 5142564 5571111 6366984 7162857 7428148 7713846 9550476 10285128 11142222 14325714 14856296 15427692 16713333 19100952 22284444 28651428 30855384 33426666 44568888 50139999 57302856 66853332 100279998 133706664 200559996 401119992