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554055740 = 225722347523
BaseRepresentation
bin100001000001100…
…011100000111100
31102121112221120222
4201001203200330
52113314240430
6130551200512
716505252600
oct4101434074
91377487528
10554055740
11264828307
12135676138
138aa30544
1453827500
15339949e5
hex2106383c

554055740 has 144 divisors (see below), whose sum is σ = 1445133312. Its totient is φ = 177496704.

The previous prime is 554055709. The next prime is 554055767. The reversal of 554055740 is 47550455.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 554055740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059119 + ... + 1059641.

It is an arithmetic number, because the mean of its divisors is an integer number (10035648).

Almost surely, 2554055740 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 554055740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722566656).

554055740 is an abundant number, since it is smaller than the sum of its proper divisors (891077572).

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

554055740 is a wasteful number, since it uses less digits than its factorization.

554055740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 35.

The square root of 554055740 is about 23538.3886449349. The cubic root of 554055740 is about 821.3302520833.

The spelling of 554055740 in words is "five hundred fifty-four million, fifty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 47 49 70 92 94 98 115 140 161 188 196 230 235 245 322 329 460 470 490 523 644 658 805 940 980 1046 1081 1127 1316 1610 1645 2092 2162 2254 2303 2615 3220 3290 3661 4324 4508 4606 5230 5405 5635 6580 7322 7567 9212 10460 10810 11270 11515 12029 14644 15134 18305 21620 22540 23030 24058 24581 25627 30268 36610 37835 46060 48116 49162 51254 52969 60145 73220 75670 84203 98324 102508 105938 120290 122905 128135 151340 168406 172067 211876 240580 245810 256270 264845 336812 344134 421015 491620 512540 529690 565363 589421 688268 842030 860335 1059380 1130726 1178842 1204469 1684060 1720670 2261452 2357684 2408938 2826815 2947105 3441340 3957541 4817876 5653630 5894210 6022345 7915082 11307260 11788420 12044690 15830164 19787705 24089380 27702787 39575410 55405574 79150820 110811148 138513935 277027870 554055740