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552141408 = 25372139029
BaseRepresentation
bin100000111010010…
…000001001100000
31102110221200121210
4200322100021200
52112322011113
6130442150120
716453060500
oct4072201140
91373850553
10552141408
11263740015
12134ab2340
138a5100c0
1453489a00
15337176c3
hex20e90260

552141408 has 144 divisors (see below), whose sum is σ = 1815896880. Its totient is φ = 145603584.

The previous prime is 552141397. The next prime is 552141433. The reversal of 552141408 is 804141255.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56638 + ... + 65666.

It is an arithmetic number, because the mean of its divisors is an integer number (12610395).

Almost surely, 2552141408 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 552141408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907948440).

552141408 is an abundant number, since it is smaller than the sum of its proper divisors (1263755472).

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

552141408 is a wasteful number, since it uses less digits than its factorization.

552141408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9054 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 552141408 is about 23497.6894183237. The cubic root of 552141408 is about 820.3832275728.

The spelling of 552141408 in words is "five hundred fifty-two million, one hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 9029 10192 15288 18058 20384 27087 30576 36116 54174 61152 63203 72232 108348 117377 126406 144464 189609 216696 234754 252812 288928 352131 379218 433392 442421 469508 505624 704262 758436 821639 866784 884842 939016 1011248 1327263 1408524 1516872 1643278 1769684 1878032 2022496 2464917 2654526 2817048 3033744 3286556 3539368 3756064 4929834 5309052 5634096 5751473 6067488 6573112 7078736 9859668 10618104 11268192 11502946 13146224 14157472 17254419 19719336 21236208 23005892 26292448 34508838 39438672 42472416 46011784 69017676 78877344 92023568 138035352 184047136 276070704 552141408