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554145312 = 2537316829
BaseRepresentation
bin100001000001111…
…001011000100000
31102121201111110110
4201001321120200
52113330122222
6130553131320
716506105000
oct4101713040
91377644413
10554145312
11264889636
121356b9b40
138aa62246
145384c000
15339b130c
hex21079620

554145312 has 96 divisors (see below), whose sum is σ = 1696464000. Its totient is φ = 158317824.

The previous prime is 554145307. The next prime is 554145331. The reversal of 554145312 is 213541455.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 554145312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24514 + ... + 41342.

It is an arithmetic number, because the mean of its divisors is an integer number (17671500).

Almost surely, 2554145312 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 554145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848232000).

554145312 is an abundant number, since it is smaller than the sum of its proper divisors (1142318688).

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

554145312 is a wasteful number, since it uses less digits than its factorization.

554145312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16863 (or 16841 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 554145312 is about 23540.2912471363. The cubic root of 554145312 is about 821.3745101027.

Adding to 554145312 its reverse (213541455), we get a palindrome (767686767).

It can be divided in two parts, 55414 and 5312, that added together give a triangular number (60726 = T348).

The spelling of 554145312 in words is "five hundred fifty-four million, one hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 4116 4704 5488 8232 10976 16464 16829 32928 33658 50487 67316 100974 117803 134632 201948 235606 269264 353409 403896 471212 538528 706818 807792 824621 942424 1413636 1615584 1649242 1884848 2473863 2827272 3298484 3769696 4947726 5654544 5772347 6596968 9895452 11309088 11544694 13193936 17317041 19790904 23089388 26387872 34634082 39581808 46178776 69268164 79163616 92357552 138536328 184715104 277072656 554145312