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554000148 = 223513172579
BaseRepresentation
bin100001000001010…
…101111100010100
31102121110010100000
4201001111330110
52113311001043
6130550051300
716504631532
oct4101257424
91377403300
10554000148
1126479a569
12135649b30
138aa11150
1453811152
15339832d3
hex21055f14

554000148 has 144 divisors (see below), whose sum is σ = 1656607680. Its totient is φ = 160372224.

The previous prime is 554000141. The next prime is 554000171. The reversal of 554000148 is 841000455.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554000141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213523 + ... + 216101.

It is an arithmetic number, because the mean of its divisors is an integer number (11504220).

Almost surely, 2554000148 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 554000148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828303840).

554000148 is an abundant number, since it is smaller than the sum of its proper divisors (1102607532).

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

554000148 is a wasteful number, since it uses less digits than its factorization.

554000148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 554000148 is about 23537.2077358382. The cubic root of 554000148 is about 821.3027813703.

The spelling of 554000148 in words is "five hundred fifty-four million, one hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 243 306 324 351 442 459 468 486 612 663 702 884 918 972 1053 1326 1377 1404 1836 1989 2106 2579 2652 2754 3159 3978 4131 4212 5158 5508 5967 6318 7737 7956 8262 10316 11934 12636 15474 16524 17901 23211 23868 30948 33527 35802 43843 46422 53703 67054 69633 71604 87686 92844 100581 107406 131529 134108 139266 175372 201162 208899 214812 263058 278532 301743 394587 402324 417798 526116 569959 603486 626697 789174 835596 905229 1139918 1183761 1206972 1253394 1578348 1709877 1810458 2279836 2367522 2506788 2715687 3419754 3551283 3620916 4735044 5129631 5431374 6839508 7102566 8147061 10259262 10653849 10862748 14205132 15388893 16294122 20518524 21307698 30777786 32588244 42615396 46166679 61555572 92333358 138500037 184666716 277000074 554000148