Search a number
-
+
2465044640 = 255416132
BaseRepresentation
bin1001001011101101…
…1001100010100000
320100210102020112122
42102323121202200
520022022412030
61044334243412
7115041351032
oct22273314240
96323366478
102465044640
1110554a9583
12589656568
13303910ac6
14195551c52
15e66238e5
hex92ed98a0

2465044640 has 72 divisors (see below), whose sum is σ = 5975456508. Its totient is φ = 960399360.

The previous prime is 2465044627. The next prime is 2465044643. The reversal of 2465044640 is 464405642.

It can be written as a sum of positive squares in 6 ways, for example, as 209554576 + 2255490064 = 14476^2 + 47492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2465044640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465044643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4020974 + ... + 4021586.

Almost surely, 22465044640 is an apocalyptic number.

2465044640 is a gapful number since it is divisible by the number (20) 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 2465044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987728254).

2465044640 is an abundant number, since it is smaller than the sum of its proper divisors (3510411868).

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

2465044640 is an frugal number, since it uses more digits than its factorization.

2465044640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 2465044640 is about 49649.2159051883. The cubic root of 2465044640 is about 1350.8535324886.

The spelling of 2465044640 in words is "two billion, four hundred sixty-five million, forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 613 656 820 1226 1312 1640 2452 3065 3280 4904 6130 6560 9808 12260 19616 24520 25133 49040 50266 98080 100532 125665 201064 251330 375769 402128 502660 751538 804256 1005320 1503076 1878845 2010640 3006152 3757690 4021280 6012304 7515380 12024608 15030760 15406529 30061520 30813058 60123040 61626116 77032645 123252232 154065290 246504464 308130580 493008928 616261160 1232522320 2465044640