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4394894436 = 22342921272
BaseRepresentation
bin1000001011111010…
…01100010001100100
3102100021202202210000
410011331030101210
533000043110221
62004033501300
7213623662212
oct40575142144
912307682700
104394894436
111955892269
12a27a11830
1355069616a
142d9989cb2
151aac7ae26
hex105f4c464

4394894436 has 135 divisors (see below), whose sum is σ = 11993390409. Its totient is φ = 1403311392.

The previous prime is 4394894431. The next prime is 4394894453. The reversal of 4394894436 is 6344984934.

The square root of 4394894436 is 66294.

It is a perfect power (a square), and thus also a powerful number.

4394894436 is a `hidden beast` number, since 43 + 94 + 89 + 4 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2304576036 + 2090318400 = 48006^2 + 45720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4394894431) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34605405 + ... + 34605531.

Almost surely, 24394894436 is an apocalyptic number.

4394894436 is the 66294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4394894436

4394894436 is an abundant number, since it is smaller than the sum of its proper divisors (7598495973).

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

4394894436 is a wasteful number, since it uses less digits than its factorization.

4394894436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 161 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The cubic root of 4394894436 is about 1638.0084932941.

It can be divided in two parts, 43948 and 94436, that added together give a square (138384 = 3722).

The spelling of 4394894436 in words is "four billion, three hundred ninety-four million, eight hundred ninety-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 127 162 174 254 261 324 348 381 508 522 762 783 841 1044 1143 1524 1566 1682 2286 2349 2523 3132 3364 3429 3683 4572 4698 5046 6858 7366 7569 9396 10092 10287 11049 13716 14732 15138 16129 20574 22098 22707 30276 32258 33147 41148 44196 45414 48387 64516 66294 68121 90828 96774 99441 106807 132588 136242 145161 193548 198882 213614 272484 290322 298323 320421 397764 427228 435483 467741 580644 596646 640842 870966 935482 961263 1193292 1281684 1306449 1403223 1741932 1870964 1922526 2612898 2806446 2883789 3845052 4209669 5225796 5612892 5767578 8419338 8651367 11535156 12629007 13564489 16838676 17302734 25258014 27128978 34605468 37887021 40693467 50516028 54257956 75774042 81386934 122080401 151548084 162773868 244160802 366241203 488321604 732482406 1098723609 1464964812 2197447218 4394894436