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2552399424 = 26342321407
BaseRepresentation
bin1001100000100010…
…1000011001000000
320120212210022210000
42120020220121000
520211403240144
61101134440000
7120152015511
oct23010503100
96525708700
102552399424
11109a843513
125b2963000
13318a47a23
141a2db0a08
15ee12b769
hex98228640

2552399424 has 140 divisors (see below), whose sum is σ = 7895441664. Its totient is φ = 813770496.

The previous prime is 2552399411. The next prime is 2552399441. The reversal of 2552399424 is 4249932552.

2552399424 is a `hidden beast` number, since 2 + 552 + 3 + 9 + 94 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2552399424.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108529 + ... + 129935.

Almost surely, 22552399424 is an apocalyptic number.

2552399424 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 2552399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947720832).

2552399424 is an abundant number, since it is smaller than the sum of its proper divisors (5343042240).

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

2552399424 is a wasteful number, since it uses less digits than its factorization.

2552399424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21454 (or 21435 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 2552399424 is about 50521.2769434819. The cubic root of 2552399424 is about 1366.6255817380.

The spelling of 2552399424 in words is "two billion, five hundred fifty-two million, three hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 13248 14904 19872 21407 29808 39744 42814 59616 64221 85628 119232 128442 171256 192663 256884 342512 385326 492361 513768 577989 685024 770652 984722 1027536 1155978 1370048 1477083 1541304 1733967 1969444 2055072 2311956 2954166 3082608 3467934 3938888 4110144 4431249 4623912 5908332 6165216 6935868 7877776 8862498 9247824 11816664 12330432 13293747 13871736 15755552 17724996 18495648 23633328 26587494 27743472 31511104 35449992 36991296 39881241 47266656 53174988 55486944 70899984 79762482 94533312 106349976 110973888 141799968 159524964 212699952 283599936 319049928 425399904 638099856 850799808 1276199712 2552399424