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554141430 = 232531243149
BaseRepresentation
bin100001000001111…
…000011011110110
31102121201022010200
4201001320123312
52113330011210
6130553101330
716506060453
oct4101703366
91377638120
10554141430
11264886727
121356b7846
138aa6054b
145384a82a
15339b00c0
hex210786f6

554141430 has 144 divisors (see below), whose sum is σ = 1533589200. Its totient is φ = 138741120.

The previous prime is 554141417. The next prime is 554141443. The reversal of 554141430 is 34141455.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (554141417) and next prime (554141443).

It is a junction number, because it is equal to n+sod(n) for n = 554141394 and 554141403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3718996 + ... + 3719144.

It is an arithmetic number, because the mean of its divisors is an integer number (10649925).

Almost surely, 2554141430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766794600).

554141430 is an abundant number, since it is smaller than the sum of its proper divisors (979447770).

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

554141430 is a wasteful number, since it uses less digits than its factorization.

554141430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 554141430 is about 23540.2087926169. The cubic root of 554141430 is about 821.3725920840.

Adding to 554141430 its reverse (34141455), we get a palindrome (588282885).

It can be divided in two parts, 5541 and 41430, that added together give a triangular number (46971 = T306).

The spelling of 554141430 in words is "five hundred fifty-four million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 43 45 62 86 90 93 129 149 155 186 215 258 279 298 310 387 430 447 465 558 645 745 774 894 930 961 1290 1333 1341 1395 1490 1922 1935 2235 2666 2682 2790 2883 3870 3999 4470 4619 4805 5766 6407 6665 6705 7998 8649 9238 9610 11997 12814 13330 13410 13857 14415 17298 19221 19995 23095 23994 27714 28830 32035 38442 39990 41323 41571 43245 46190 57663 59985 64070 69285 82646 83142 86490 96105 115326 119970 123969 138570 143189 192210 198617 206615 207855 247938 286378 288315 371907 397234 413230 415710 429567 576630 595851 619845 715945 743814 859134 993085 1191702 1239690 1288701 1431890 1787553 1859535 1986170 2147835 2577402 2979255 3575106 3719070 4295670 5958510 6157127 6443505 8937765 12314254 12887010 17875530 18471381 30785635 36942762 55414143 61571270 92356905 110828286 184713810 277070715 554141430