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2452332540 = 223575838887
BaseRepresentation
bin1001001000101011…
…1001111111111100
320022220111101211010
42102022321333330
520010244120130
61043201555220
7114525324360
oct22212717774
96286441733
102452332540
111049306809
12585345b10
133010ac958
141939a32a0
15e54620b0
hex922b9ffc

2452332540 has 48 divisors (see below), whose sum is σ = 7847465472. Its totient is φ = 560533056.

The previous prime is 2452332523. The next prime is 2452332551. The reversal of 2452332540 is 452332542.

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 = 2452332498 and 2452332507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2919024 + ... + 2919863.

It is an arithmetic number, because the mean of its divisors is an integer number (163488864).

Almost surely, 22452332540 is an apocalyptic number.

2452332540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2452332540 is an abundant number, since it is smaller than the sum of its proper divisors (5395132932).

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

2452332540 is a wasteful number, since it uses less digits than its factorization.

2452332540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838906 (or 5838904 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2452332540 is about 49521.0312897460. The cubic root of 2452332540 is about 1348.5274368545.

The spelling of 2452332540 in words is "two billion, four hundred fifty-two million, three hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5838887 11677774 17516661 23355548 29194435 35033322 40872209 58388870 70066644 81744418 87583305 116777740 122616627 163488836 175166610 204361045 245233254 350333220 408722090 490466508 613083135 817444180 1226166270 2452332540