Search a number
-
+
551993148 = 2232761149241
BaseRepresentation
bin100000111001101…
…011111100111100
31102110200011020200
4200321223330330
52112302240043
6130435043500
716451602320
oct4071537474
91373604220
10551993148
11263649693
12134a40590
138a48a785
145344b980
15336d87d3
hex20e6bf3c

551993148 has 144 divisors (see below), whose sum is σ = 1638436800. Its totient is φ = 153446400.

The previous prime is 551993137. The next prime is 551993153. The reversal of 551993148 is 841399155.

551993148 is a `hidden beast` number, since 5 + 519 + 93 + 1 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2290308 + ... + 2290548.

Almost surely, 2551993148 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 551993148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819218400).

551993148 is an abundant number, since it is smaller than the sum of its proper divisors (1086443652).

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

551993148 is a wasteful number, since it uses less digits than its factorization.

551993148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 463 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 551993148 is about 23494.5344282452. The cubic root of 551993148 is about 820.3097917320.

The spelling of 551993148 in words is "five hundred fifty-one million, nine hundred ninety-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 149 183 241 244 252 298 366 427 447 482 549 596 723 732 854 894 964 1043 1098 1281 1341 1446 1687 1708 1788 2086 2169 2196 2562 2682 2892 3129 3374 3843 4172 4338 5061 5124 5364 6258 6748 7686 8676 9089 9387 10122 12516 14701 15183 15372 18178 18774 20244 27267 29402 30366 35909 36356 37548 44103 54534 58804 60732 63623 71818 81801 88206 102907 107727 109068 127246 132309 143636 163602 176412 190869 205814 215454 251363 254492 264618 308721 323181 327204 381738 411628 430908 502726 529236 572607 617442 646362 754089 763476 926163 1005452 1145214 1234884 1292724 1508178 1852326 2190449 2262267 2290428 3016356 3704652 4380898 4524534 6571347 8761796 9049068 13142694 15333143 19714041 26285388 30666286 39428082 45999429 61332572 78856164 91998858 137998287 183997716 275996574 551993148