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5238604448 = 257113721553
BaseRepresentation
bin1001110000011111…
…01100001010100000
3111112002100200022222
410320033230022200
541212040320243
62223453250212
7243550255160
oct47017541240
914462320288
105238604448
112249068070
121022493968
1365641145c
14379a525a0
15209d89168
hex1383ec2a0

5238604448 has 144 divisors (see below), whose sum is σ = 13223818944. Its totient is φ = 1984573440.

The previous prime is 5238604391. The next prime is 5238604571. The reversal of 5238604448 is 8444068325.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 5238604399 and 5238604408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3372440 + ... + 3373992.

It is an arithmetic number, because the mean of its divisors is an integer number (91832076).

Almost surely, 25238604448 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 5238604448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611909472).

5238604448 is an abundant number, since it is smaller than the sum of its proper divisors (7985214496).

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

5238604448 is a wasteful number, since it uses less digits than its factorization.

5238604448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The square root of 5238604448 is about 72378.2042330424. The cubic root of 5238604448 is about 1736.7549117511.

The spelling of 5238604448 in words is "five billion, two hundred thirty-eight million, six hundred four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 616 814 1036 1184 1232 1369 1553 1628 2072 2464 2738 2849 3106 3256 4144 5476 5698 6212 6512 8288 9583 10871 10952 11396 12424 13024 15059 17083 19166 21742 21904 22792 24848 30118 34166 38332 43484 43808 45584 49696 57461 60236 68332 76664 86968 91168 105413 114922 119581 120472 136664 153328 173936 210826 229844 239162 240944 273328 306656 347872 402227 421652 459688 478324 481888 546656 632071 804454 843304 919376 956648 1264142 1608908 1686608 1838752 1913296 2126057 2528284 3217816 3373216 3826592 4252114 4424497 5056568 6435632 8504228 8848994 10113136 12871264 14882399 17008456 17697988 20226272 23386627 29764798 34016912 35395976 46773254 59529596 68033824 70791952 93546508 119059192 141583904 163706389 187093016 238118384 327412778 374186032 476236768 654825556 748372064 1309651112 2619302224 5238604448