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2554052424 = 2337114332141
BaseRepresentation
bin1001100000111011…
…1011111101001000
320120222220022021020
42120032323331020
520212314134144
61101234112440
7120202041660
oct23016737510
96528808236
102554052424
1110a0772430
125b341b720
133191a6231
141a32c11a0
15ee356419
hex983bbf48

2554052424 has 128 divisors (see below), whose sum is σ = 8146068480. Its totient is φ = 647942400.

The previous prime is 2554052377. The next prime is 2554052437. The reversal of 2554052424 is 4242504552.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 63394 + ... + 95534.

It is an arithmetic number, because the mean of its divisors is an integer number (63641160).

Almost surely, 22554052424 is an apocalyptic number.

2554052424 is a gapful number since it is divisible by the number (24) 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 2554052424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073034240).

2554052424 is an abundant number, since it is smaller than the sum of its proper divisors (5592016056).

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

2554052424 is a wasteful number, since it uses less digits than its factorization.

2554052424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32211 (or 32207 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The square root of 2554052424 is about 50537.6337396202. The cubic root of 2554052424 is about 1366.9205387853.

Adding to 2554052424 its reverse (4242504552), we get a palindrome (6796556976).

The spelling of 2554052424 in words is "two billion, five hundred fifty-four million, fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 43 44 56 66 77 84 86 88 129 132 154 168 172 231 258 264 301 308 344 462 473 516 602 616 903 924 946 1032 1204 1419 1806 1848 1892 2408 2838 3311 3612 3784 5676 6622 7224 9933 11352 13244 19866 26488 32141 39732 64282 79464 96423 128564 192846 224987 257128 353551 385692 449974 674961 707102 771384 899948 1060653 1349922 1382063 1414204 1799896 2121306 2474857 2699844 2764126 2828408 4146189 4242612 4949714 5399688 5528252 7424571 8292378 8485224 9674441 9899428 11056504 14849142 15202693 16584756 19348882 19798856 29023323 29698284 30405386 33169512 38697764 45608079 58046646 59396568 60810772 77395528 91216158 106418851 116093292 121621544 182432316 212837702 232186584 319256553 364864632 425675404 638513106 851350808 1277026212 2554052424