Search a number
-
+
4397146640 = 245312576899
BaseRepresentation
bin1000001100001011…
…10010001000010000
3102100110000012012222
410012011302020100
533001132143030
62004154040212
7213652062335
oct40605621020
912313005188
104397146640
111957090397
12a28719068
13550ca4323
142d9db498c
151ab0733e5
hex106172210

4397146640 has 80 divisors (see below), whose sum is σ = 10595750400. Its totient is φ = 1695252480.

The previous prime is 4397146603. The next prime is 4397146667. The reversal of 4397146640 is 466417934.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4397146591 and 4397146600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633911 + ... + 640809.

It is an arithmetic number, because the mean of its divisors is an integer number (132446880).

Almost surely, 24397146640 is an apocalyptic number.

4397146640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4397146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297875200).

4397146640 is an abundant number, since it is smaller than the sum of its proper divisors (6198603760).

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

4397146640 is a wasteful number, since it uses less digits than its factorization.

4397146640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 4397146640 is about 66310.9843087855. The cubic root of 4397146640 is about 1638.2882496749.

The spelling of 4397146640 in words is "four billion, three hundred ninety-seven million, one hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 257 310 496 514 620 1028 1240 1285 2056 2480 2570 4112 5140 6899 7967 10280 13798 15934 20560 27596 31868 34495 39835 55192 63736 68990 79670 110384 127472 137980 159340 213869 275960 318680 427738 551920 637360 855476 1069345 1710952 1773043 2138690 3421904 3546086 4277380 7092172 8554760 8865215 14184344 17109520 17730430 28368688 35460860 54964333 70921720 109928666 141843440 219857332 274821665 439714664 549643330 879429328 1099286660 2198573320 4397146640