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2506997952 = 2635161201
BaseRepresentation
bin1001010101101101…
…1100000011000000
320110201100200200000
42111123130003000
520113242413302
61052433400000
7116061062634
oct22533340300
96421320600
102506997952
111077153738
1259b709000
1330c50c754
1419ad52dc4
15ea15e31c
hex956dc0c0

2506997952 has 84 divisors (see below), whose sum is σ = 7452046056. Its totient is φ = 835660800.

The previous prime is 2506997923. The next prime is 2506997971. The reversal of 2506997952 is 2597996052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65049 + ... + 96152.

It is an arithmetic number, because the mean of its divisors is an integer number (88714834).

Almost surely, 22506997952 is an apocalyptic number.

It is an amenable number.

2506997952 is an abundant number, since it is smaller than the sum of its proper divisors (4945048104).

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

2506997952 is an equidigital number, since it uses as much as digits as its factorization.

2506997952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161228 (or 161206 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 2506997952 is about 50069.9306170879. The cubic root of 2506997952 is about 1358.4739861561.

The spelling of 2506997952 in words is "two billion, five hundred six million, nine hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 161201 322402 483603 644804 967206 1289608 1450809 1934412 2579216 2901618 3868824 4352427 5158432 5803236 7737648 8704854 10316864 11606472 13057281 15475296 17409708 23212944 26114562 30950592 34819416 39171843 46425888 52229124 69638832 78343686 92851776 104458248 139277664 156687372 208916496 278555328 313374744 417832992 626749488 835665984 1253498976 2506997952