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554642136 = 233217372331
BaseRepresentation
bin100001000011110…
…010101011011000
31102122122201222100
4201003302223120
52113442022021
6131011523400
716513244316
oct4103625330
91378581870
10554642136
11265098934
121358b9560
138aba7419
145393b0b6
1533a5d626
hex210f2ad8

554642136 has 144 divisors (see below), whose sum is σ = 1639605240. Its totient is φ = 168791040.

The previous prime is 554642117. The next prime is 554642141. The reversal of 554642136 is 631246455.

554642136 is a `hidden beast` number, since 5 + 5 + 4 + 642 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 554642136.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1675491 + ... + 1675821.

Almost surely, 2554642136 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 554642136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819802620).

554642136 is an abundant number, since it is smaller than the sum of its proper divisors (1084963104).

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

554642136 is a wasteful number, since it uses less digits than its factorization.

554642136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 390 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 554642136 is about 23550.8415136275. The cubic root of 554642136 is about 821.6199070326.

It can be divided in two parts, 55464 and 2136, that added together give a square (57600 = 2402).

The spelling of 554642136 in words is "five hundred fifty-four million, six hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 37 51 68 72 74 102 111 136 148 153 204 222 296 306 331 333 408 444 612 629 662 666 888 993 1224 1258 1324 1332 1369 1887 1986 2516 2648 2664 2738 2979 3774 3972 4107 5032 5476 5627 5661 5958 7548 7944 8214 10952 11254 11322 11916 12247 12321 15096 16428 16881 22508 22644 23273 23832 24494 24642 32856 33762 36741 45016 45288 46546 48988 49284 50643 67524 69819 73482 93092 97976 98568 101286 110223 135048 139638 146964 186184 202572 208199 209457 220446 279276 293928 405144 416398 418914 440892 453139 558552 624597 832796 837828 881784 906278 1249194 1359417 1665592 1675656 1812556 1873791 2498388 2718834 3625112 3747582 4078251 4996776 5437668 7495164 7703363 8156502 10875336 14990328 15406726 16313004 23110089 30813452 32626008 46220178 61626904 69330267 92440356 138660534 184880712 277321068 554642136