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2500376328 = 2332712832
BaseRepresentation
bin1001010100001000…
…1011011100001000
320110020220021111200
42111002023130020
520110044020303
61052035424200
7115650563622
oct22502133410
96406807450
102500376328
11107344081a
12599455060
1330b031828
1419a10bc12
15e97a23a3
hex9508b708

2500376328 has 108 divisors (see below), whose sum is σ = 6952325055. Its totient is φ = 811819680.

The previous prime is 2500376309. The next prime is 2500376339. The reversal of 2500376328 is 8236730052.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2500376328 is a `hidden beast` number, since 250 + 0 + 376 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1250188164 + 1250188164 = 35358^2 + 35358^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=35358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2500376292 and 2500376301.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30124975 + ... + 30125057.

Almost surely, 22500376328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500376328

2500376328 is an abundant number, since it is smaller than the sum of its proper divisors (4451948727).

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

2500376328 is an equidigital number, since it uses as much as digits as its factorization.

2500376328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2500376328 is about 50003.7631383879. The cubic root of 2500376328 is about 1357.2769056375.

The spelling of 2500376328 in words is "two billion, five hundred million, three hundred seventy-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 83 142 166 213 249 284 332 426 498 568 639 664 747 852 996 1278 1494 1704 1992 2556 2988 5041 5112 5893 5976 6889 10082 11786 13778 15123 17679 20164 20667 23572 27556 30246 35358 40328 41334 45369 47144 53037 55112 60492 62001 70716 82668 90738 106074 120984 124002 141432 165336 181476 212148 248004 362952 418403 424296 489119 496008 836806 978238 1255209 1467357 1673612 1956476 2510418 2934714 3347224 3765627 3912952 4402071 5020836 5869428 7531254 8804142 10041672 11738856 15062508 17608284 30125016 34727449 35216568 69454898 104182347 138909796 208364694 277819592 312547041 416729388 625094082 833458776 1250188164 2500376328