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402111424 = 26111353829
BaseRepresentation
bin10111111101111…
…011101111000000
31001000122101011201
4113331323233000
51310420031144
6103522350544
712651614341
oct2775735700
91030571151
10402111424
11196a882a0
12b27bb454
1365400670
143b5940c8
152547e1d4
hex17f7bbc0

402111424 has 112 divisors (see below), whose sum is σ = 956279520. Its totient is φ = 165335040.

The previous prime is 402111407. The next prime is 402111427. The reversal of 402111424 is 424111204.

It is a super-2 number, since 2×4021114242 = 323387194622615552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402111427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484642 + ... + 485470.

It is an arithmetic number, because the mean of its divisors is an integer number (8538210).

Almost surely, 2402111424 is an apocalyptic number.

402111424 is a gapful number since it is divisible by the number (44) 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 402111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478139760).

402111424 is an abundant number, since it is smaller than the sum of its proper divisors (554168096).

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

402111424 is a wasteful number, since it uses less digits than its factorization.

402111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 402111424 is about 20052.7161252535. The cubic root of 402111424 is about 738.1004507280.

Adding to 402111424 its reverse (424111204), we get a palindrome (826222628).

The spelling of 402111424 in words is "four hundred two million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 53 64 88 104 106 143 176 208 212 286 352 416 424 572 583 689 704 829 832 848 1144 1166 1378 1658 1696 2288 2332 2756 3316 3392 4576 4664 5512 6632 7579 9119 9152 9328 10777 11024 13264 15158 18238 18656 21554 22048 26528 30316 36476 37312 43108 43937 44096 53056 60632 72952 86216 87874 118547 121264 145904 172432 175748 237094 242528 291808 344864 351496 474188 483307 485056 571181 583616 689728 702992 948376 966614 1142362 1405984 1896752 1933228 2284724 2811968 3793504 3866456 4569448 6282991 7587008 7732912 9138896 12565982 15465824 18277792 25131964 30931648 36555584 50263928 100527856 201055712 402111424