Search a number
-
+
44400402928 = 2472194763419
BaseRepresentation
bin101001010110011110…
…000110000111110000
311020121100012011111201
4221112132012013300
51211413000343203
632221450420544
73131166124600
oct512636060760
9136540164451
1044400402928
1117914962982
128731731754
134257926a8b
142212b8cc00
15124ce9ee1d
hexa567861f0

44400402928 has 120 divisors (see below), whose sum is σ = 107580614400. Its totient is φ = 17643394944.

The previous prime is 44400402911. The next prime is 44400402929. The reversal of 44400402928 is 82920400444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44400402929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668403 + ... + 731821.

It is an arithmetic number, because the mean of its divisors is an integer number (896505120).

Almost surely, 244400402928 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 44400402928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53790307200).

44400402928 is an abundant number, since it is smaller than the sum of its proper divisors (63180211472).

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

44400402928 is a wasteful number, since it uses less digits than its factorization.

44400402928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63507 (or 63494 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 44400402928 in words is "forty-four billion, four hundred million, four hundred two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 47 49 56 76 94 98 112 133 152 188 196 266 304 329 376 392 532 658 752 784 893 931 1064 1316 1786 1862 2128 2303 2632 3572 3724 4606 5264 6251 7144 7448 9212 12502 14288 14896 18424 25004 36848 43757 50008 63419 87514 100016 126838 175028 253676 350056 443933 507352 700112 887866 1014704 1204961 1775732 2409922 2980693 3107531 3551464 4819844 5961386 6215062 7102928 8434727 9639688 11922772 12430124 16869454 19279376 20864851 23845544 24860248 33738908 41729702 47691088 49720496 56633167 59043089 67477816 83459404 113266334 118086178 134955632 146053957 166918808 226532668 236172356 292107914 333837616 396432169 453065336 472344712 584215828 792864338 906130672 944689424 1168431656 1585728676 2336863312 2775025183 3171457352 5550050366 6342914704 11100100732 22200201464 44400402928