Search a number
-
+
4394128752 = 2432134157251
BaseRepresentation
bin1000001011110100…
…10001010101110000
3102100020022212110100
410011322101111300
532444344110002
62004005232400
7213614322666
oct40572212560
912306285410
104394128752
111955409a72
12a27702700
135504887b0
142d982ac36
151aab7911c
hex105e91570

4394128752 has 120 divisors (see below), whose sum is σ = 13566662928. Its totient is φ = 1319040000.

The previous prime is 4394128723. The next prime is 4394128847. The reversal of 4394128752 is 2578214934.

It is a junction number, because it is equal to n+sod(n) for n = 4394128698 and 4394128707.

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, 48127 + ... + 105377.

Almost surely, 24394128752 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 4394128752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783331464).

4394128752 is an abundant number, since it is smaller than the sum of its proper divisors (9172534176).

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

4394128752 is a wasteful number, since it uses less digits than its factorization.

4394128752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57319 (or 57310 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4394128752 is about 66288.2248366933. The cubic root of 4394128752 is about 1637.9133624739.

The spelling of 4394128752 in words is "four billion, three hundred ninety-four million, one hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 144 156 164 208 234 246 312 328 369 468 492 533 624 656 738 936 984 1066 1476 1599 1872 1968 2132 2952 3198 4264 4797 5904 6396 8528 9594 12792 19188 25584 38376 57251 76752 114502 171753 229004 343506 458008 515259 687012 744263 916016 1030518 1374024 1488526 2061036 2232789 2347291 2748048 2977052 4122072 4465578 4694582 5954104 6698367 7041873 8244144 8931156 9389164 11908208 13396734 14083746 17862312 18778328 21125619 26793468 28167492 30514783 35724624 37556656 42251238 53586936 56334984 61029566 84502476 91544349 107173872 112669968 122059132 169004952 183088698 244118264 274633047 338009904 366177396 488236528 549266094 732354792 1098532188 1464709584 2197064376 4394128752