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2625349272 = 2337139911213
BaseRepresentation
bin1001110001111011…
…1010011010011000
320202222001120011020
42130132322122120
520334042134042
61112302202440
7122026046340
oct23436723230
96688046136
102625349272
111127a39847
12613283420
1332abaa110
141ac95dd20
1510573b3ec
hex9c7ba698

2625349272 has 128 divisors (see below), whose sum is σ = 8092815360. Its totient is φ = 691130880.

The previous prime is 2625349267. The next prime is 2625349291. The reversal of 2625349272 is 2729435262.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2163738 + ... + 2164950.

It is an arithmetic number, because the mean of its divisors is an integer number (63225120).

Almost surely, 22625349272 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 2625349272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046407680).

2625349272 is an abundant number, since it is smaller than the sum of its proper divisors (5467466088).

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

2625349272 is a wasteful number, since it uses less digits than its factorization.

2625349272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2229 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 2625349272 is about 51238.1622621265. The cubic root of 2625349272 is about 1379.5232673798.

The spelling of 2625349272 in words is "two billion, six hundred twenty-five million, three hundred forty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 991 1092 1213 1982 2184 2426 2973 3639 3964 4852 5946 6937 7278 7928 8491 9704 11892 12883 13874 14556 15769 16982 20811 23784 25473 25766 27748 29112 31538 33964 38649 41622 47307 50946 51532 55496 63076 67928 77298 83244 90181 94614 101892 103064 110383 126152 154596 166488 180362 189228 203784 220766 270543 309192 331149 360724 378456 441532 541086 662298 721448 883064 1082172 1202083 1324596 2164344 2404166 2649192 3606249 4808332 7212498 8414581 9616664 14424996 15627079 16829162 25243743 28849992 31254158 33658324 46881237 50487486 62508316 67316648 93762474 100974972 109389553 125016632 187524948 201949944 218779106 328168659 375049896 437558212 656337318 875116424 1312674636 2625349272