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2040395448 = 2337133130137
BaseRepresentation
bin111100110011101…
…1111011010111000
312021012100211100210
41321213133122320
513134320123243
6534244431120
7101364034530
oct17147373270
95235324323
102040395448
11957828333
1248b3a84a0
1326694bbb0
14154db24c0
15be1e1933
hex799df6b8

2040395448 has 128 divisors (see below), whose sum is σ = 6480875520. Its totient is φ = 520750080.

The previous prime is 2040395447. The next prime is 2040395449. The reversal of 2040395448 is 8445930402.

It is an interprime number because it is at equal distance from previous prime (2040395447) and next prime (2040395449).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040395447) 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, 52636 + ... + 82772.

It is an arithmetic number, because the mean of its divisors is an integer number (50631840).

Almost surely, 22040395448 is an apocalyptic number.

2040395448 is a gapful number since it is divisible by the number (28) 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 2040395448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240437760).

2040395448 is an abundant number, since it is smaller than the sum of its proper divisors (4440480072).

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

2040395448 is a wasteful number, since it uses less digits than its factorization.

2040395448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30197 (or 30193 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2040395448 is about 45170.7366333559. The cubic root of 2040395448 is about 1268.3470856048.

The spelling of 2040395448 in words is "two billion, forty million, three hundred ninety-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2418 2604 2821 3224 4836 5208 5642 8463 9672 11284 16926 22568 30137 33852 60274 67704 90411 120548 180822 210959 241096 361644 391781 421918 632877 723288 783562 843836 934247 1175343 1265754 1567124 1687672 1868494 2350686 2531508 2742467 2802741 3134248 3736988 4701372 5063016 5484934 5605482 6539729 7473976 8227401 9402744 10969868 11210964 12145211 13079458 16454802 19619187 21939736 22421928 24290422 26158916 32909604 36435633 39238374 48580844 52317832 65819208 72871266 78476748 85016477 97161688 145742532 156953496 170032954 255049431 291485064 340065908 510098862 680131816 1020197724 2040395448