Search a number
-
+
4397955552 = 2532611391801
BaseRepresentation
bin1000001100010001…
…10111100111100000
3102100111112021211200
410012020313213200
533001334034202
62004223241200
7213662001564
oct40610674740
912314467750
104397955552
111957593111
12a28a49200
135511c8583
142da1456a4
151ab182e1c
hex1062379e0

4397955552 has 144 divisors (see below), whose sum is σ = 12810273840. Its totient is φ = 1430784000.

The previous prime is 4397955547. The next prime is 4397955563. The reversal of 4397955552 is 2555597934.

4397955552 is a `hidden beast` number, since 4 + 39 + 7 + 9 + 55 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 2441052 + ... + 2442852.

It is an arithmetic number, because the mean of its divisors is an integer number (88960235).

Almost surely, 24397955552 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 4397955552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405136920).

4397955552 is an abundant number, since it is smaller than the sum of its proper divisors (8412318288).

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

4397955552 is a wasteful number, since it uses less digits than its factorization.

4397955552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2006 counting only the distinct ones).

The product of its digits is 8505000, while the sum is 54.

The square root of 4397955552 is about 66317.0834099329. The cubic root of 4397955552 is about 1638.3887049532.

The spelling of 4397955552 in words is "four billion, three hundred ninety-seven million, nine hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 139 144 183 244 278 288 366 417 488 549 556 732 834 976 1098 1112 1251 1464 1668 1801 1952 2196 2224 2502 2928 3336 3602 4392 4448 5004 5403 5856 6672 7204 8479 8784 10008 10806 13344 14408 16209 16958 17568 20016 21612 25437 28816 32418 33916 40032 43224 50874 57632 64836 67832 76311 86448 101748 109861 129672 135664 152622 172896 203496 219722 250339 259344 271328 305244 329583 406992 439444 500678 518688 610488 659166 751017 813984 878888 988749 1001356 1220976 1318332 1502034 1757776 1977498 2002712 2253051 2441952 2636664 3004068 3515552 3954996 4005424 4506102 5273328 6008136 7909992 8010848 9012204 10546656 12016272 15270679 15819984 18024408 24032544 30541358 31639968 36048816 45812037 61082716 72097632 91624074 122165432 137436111 183248148 244330864 274872222 366496296 488661728 549744444 732992592 1099488888 1465985184 2198977776 4397955552