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2052415344 = 2437101197307
BaseRepresentation
bin111101001010101…
…0101111101110000
312022000222111120010
41322111111331300
513200404242334
6535354214520
7101601146130
oct17225257560
95260874503
102052415344
11963598031
12493424440
13269299c65
14156820ac0
15c02b80e9
hex7a555f70

2052415344 has 160 divisors (see below), whose sum is σ = 6170605056. Its totient is φ = 575769600.

The previous prime is 2052415319. The next prime is 2052415349. The reversal of 2052415344 is 4435142502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052415349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6685239 + ... + 6685545.

Almost surely, 22052415344 is an apocalyptic number.

2052415344 is a gapful number since it is divisible by the number (24) 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 2052415344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085302528).

2052415344 is an abundant number, since it is smaller than the sum of its proper divisors (4118189712).

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

2052415344 is a wasteful number, since it uses less digits than its factorization.

2052415344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2052415344 is about 45303.5908510573. The cubic root of 2052415344 is about 1270.8328065251.

Adding to 2052415344 its reverse (4435142502), we get a palindrome (6487557846).

The spelling of 2052415344 in words is "two billion, fifty-two million, four hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 197 202 303 307 336 394 404 591 606 614 707 788 808 921 1182 1212 1228 1379 1414 1576 1616 1842 2121 2149 2364 2424 2456 2758 2828 3152 3684 4137 4242 4298 4728 4848 4912 5516 5656 6447 7368 8274 8484 8596 9456 11032 11312 12894 14736 16548 16968 17192 19897 22064 25788 31007 33096 33936 34384 39794 51576 59691 60479 62014 66192 79588 93021 103152 119382 120958 124028 139279 159176 181437 186042 217049 238764 241916 248056 278558 318352 362874 372084 417837 423353 434098 477528 483832 496112 557116 651147 725748 744168 835674 846706 868196 955056 967664 1114232 1270059 1302294 1451496 1488336 1671348 1693412 1736392 2228464 2540118 2604588 2902992 3342696 3386824 3472784 5080236 5209176 6108379 6685392 6773648 10160472 10418352 12216758 18325137 20320944 24433516 36650274 42758653 48867032 73300548 85517306 97734064 128275959 146601096 171034612 256551918 293202192 342069224 513103836 684138448 1026207672 2052415344