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444000700 = 2252111361509
BaseRepresentation
bin11010011101101…
…110100110111100
31010221110120110101
4122131232212330
51402131010300
6112020250444
714000641453
oct3235564674
91127416411
10444000700
11208699330
12104840a24
1370ca9110
1442d79b9a
1528ea5b6a
hex1a76e9bc

444000700 has 144 divisors (see below), whose sum is σ = 1152738720. Its totient is φ = 146304000.

The previous prime is 444000691. The next prime is 444000707. The reversal of 444000700 is 7000444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444000707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872046 + ... + 872554.

It is an arithmetic number, because the mean of its divisors is an integer number (8005130).

Almost surely, 2444000700 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 444000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576369360).

444000700 is an abundant number, since it is smaller than the sum of its proper divisors (708738020).

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

444000700 is a wasteful number, since it uses less digits than its factorization.

444000700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 444000700 is about 21071.3241159639. The cubic root of 444000700 is about 762.8887635024. Note that the first 3 decimals are identical.

The spelling of 444000700 in words is "four hundred forty-four million, seven hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 61 65 100 110 122 130 143 220 244 260 275 286 305 325 509 550 572 610 650 671 715 793 1018 1100 1220 1300 1342 1430 1525 1586 2036 2545 2684 2860 3050 3172 3355 3575 3965 5090 5599 6100 6617 6710 7150 7930 8723 10180 11198 12725 13234 13420 14300 15860 16775 17446 19825 22396 25450 26468 27995 31049 33085 33550 34892 39650 43615 50900 55990 62098 66170 67100 72787 79300 87230 111980 124196 132340 139975 145574 155245 165425 174460 218075 279950 291148 310490 330850 341539 363935 403637 436150 559900 620980 661700 683078 727870 776225 807274 872300 1366156 1455740 1552450 1614548 1707695 1819675 2018185 3104900 3415390 3639350 4036370 4440007 6830780 7278700 8072740 8538475 8880014 10090925 17076950 17760028 20181850 22200035 34153900 40363700 44400070 88800140 111000175 222000350 444000700