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5435892 = 22327113753
BaseRepresentation
bin10100101111000111110100
3101020011122100
4110233013310
52342422032
6312302100
764130040
oct24570764
911204570
105435892
113083080
1219a1930
131184307
14a17020
1572597c
hex52f1f4

5435892 has 144 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1347840.

The previous prime is 5435891. The next prime is 5435897. The reversal of 5435892 is 2985345.

It is a super-3 number, since 3×54358923 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 53 + 4 + 314 + 58 + 86 + 9 + 24 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5435891) 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 47 ways as a sum of consecutive naturals, for example, 102538 + ... + 102590.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 25435892 is an apocalyptic number.

It is a pronic number, being equal to 2331×2332.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

5435892 is an abundant number, since it is smaller than the sum of its proper divisors (12490380).

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

5435892 is a wasteful number, since it uses less digits than its factorization.

5435892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 113 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5435892 is about 2331.4999463864. The cubic root of 5435892 is about 175.8289056983.

The spelling of 5435892 in words is "five million, four hundred thirty-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 37 42 44 53 63 66 74 77 84 99 106 111 126 132 148 154 159 198 212 222 231 252 259 308 318 333 371 396 407 444 462 477 518 583 636 666 693 742 777 814 924 954 1036 1113 1166 1221 1332 1386 1484 1554 1628 1749 1908 1961 2226 2331 2332 2442 2772 2849 3108 3339 3498 3663 3922 4081 4452 4662 4884 5247 5698 5883 6678 6996 7326 7844 8162 8547 9324 10494 11396 11766 12243 13356 13727 14652 16324 17094 17649 20988 21571 23532 24486 25641 27454 34188 35298 36729 41181 43142 48972 51282 54908 64713 70596 73458 82362 86284 102564 123543 129426 146916 150997 164724 194139 247086 258852 301994 388278 452991 494172 603988 776556 905982 1358973 1811964 2717946 5435892