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652045440 = 27352291483
BaseRepresentation
bin100110110111010…
…110110010000000
31200102221100012010
4212313112302000
52313410423230
6144411332520
722105203054
oct4667266200
91612840163
10652045440
11305076432
12162451140
13a511c007
1462853c64
153c39d9b0
hex26dd6c80

652045440 has 128 divisors (see below), whose sum is σ = 2088878400. Its totient is φ = 173002752.

The previous prime is 652045411. The next prime is 652045447. The reversal of 652045440 is 44540256.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 652045398 and 652045407.

It is not an unprimeable number, because it can be changed into a prime (652045447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438939 + ... + 440421.

Almost surely, 2652045440 is an apocalyptic number.

652045440 is a gapful number since it is divisible by the number (60) 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 652045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044439200).

652045440 is an abundant number, since it is smaller than the sum of its proper divisors (1436832960).

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

652045440 is a wasteful number, since it uses less digits than its factorization.

652045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1722 counting only the distinct ones).

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

The square root of 652045440 is about 25535.1804379762. The cubic root of 652045440 is about 867.1467898525.

Adding to 652045440 its reverse (44540256), we get a palindrome (696585696).

The spelling of 652045440 in words is "six hundred fifty-two million, forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 229 240 320 384 458 480 640 687 916 960 1145 1374 1483 1832 1920 2290 2748 2966 3435 3664 4449 4580 5496 5932 6870 7328 7415 8898 9160 10992 11864 13740 14656 14830 17796 18320 21984 22245 23728 27480 29312 29660 35592 36640 43968 44490 47456 54960 59320 71184 73280 87936 88980 94912 109920 118640 142368 146560 177960 189824 219840 237280 284736 339607 355920 439680 474560 569472 679214 711840 949120 1018821 1358428 1423680 1698035 2037642 2716856 2847360 3396070 4075284 5094105 5433712 6792140 8150568 10188210 10867424 13584280 16301136 20376420 21734848 27168560 32602272 40752840 43469696 54337120 65204544 81505680 108674240 130409088 163011360 217348480 326022720 652045440