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5629848 = 2337233147
BaseRepresentation
bin10101011110011110011000
3101121000200220
4111132132120
52420123343
6320400040
765565360
oct25363630
911530626
105629848
1131a5874
121a76020
131221693
14a679a0
15763183
hex55e798

5629848 has 128 divisors (see below), whose sum is σ = 17694720. Its totient is φ = 1457280.

The previous prime is 5629847. The next prime is 5629853. The reversal of 5629848 is 8489265.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5629843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119761 + ... + 119807.

It is an arithmetic number, because the mean of its divisors is an integer number (138240).

Almost surely, 25629848 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 5629848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847360).

5629848 is an abundant number, since it is smaller than the sum of its proper divisors (12064872).

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

5629848 is a wasteful number, since it uses less digits than its factorization.

5629848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 5629848 is about 2372.7300731436. The cubic root of 5629848 is about 177.8957433494.

The spelling of 5629848 in words is "five million, six hundred twenty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 47 56 62 69 84 92 93 94 124 138 141 161 168 184 186 188 217 248 276 282 322 329 372 376 434 483 552 564 644 651 658 713 744 868 966 987 1081 1128 1288 1302 1316 1426 1457 1736 1932 1974 2139 2162 2604 2632 2852 2914 3243 3864 3948 4278 4324 4371 4991 5208 5704 5828 6486 7567 7896 8556 8648 8742 9982 10199 11656 12972 14973 15134 17112 17484 19964 20398 22701 25944 29946 30268 30597 33511 34968 39928 40796 45402 59892 60536 61194 67022 81592 90804 100533 119784 122388 134044 181608 201066 234577 244776 268088 402132 469154 703731 804264 938308 1407462 1876616 2814924 5629848