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2490381972 = 2232132409333
BaseRepresentation
bin1001010001110000…
…0011011010010100
320102120002111211100
42110130003122110
520100014210342
61051041310100
7115466616561
oct22434033224
96376074740
102490381972
111068834921
12596035330
13308c42700
14198a69868
15e897ae4c
hex94703694

2490381972 has 54 divisors (see below), whose sum is σ = 6816639102. Its totient is φ = 766269504.

The previous prime is 2490381961. The next prime is 2490381983. The reversal of 2490381972 is 2791830942.

It is an interprime number because it is at equal distance from previous prime (2490381961) and next prime (2490381983).

It can be written as a sum of positive squares in 3 ways, for example, as 33593616 + 2456788356 = 5796^2 + 49566^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 198583 + ... + 210750.

Almost surely, 22490381972 is an apocalyptic number.

It is an amenable number.

2490381972 is an abundant number, since it is smaller than the sum of its proper divisors (4326257130).

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

2490381972 is a wasteful number, since it uses less digits than its factorization.

2490381972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409369 (or 409351 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2490381972 is about 49903.7270351624. The cubic root of 2490381972 is about 1355.4660818615.

The spelling of 2490381972 in words is "two billion, four hundred ninety million, three hundred eighty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 409333 818666 1227999 1637332 2455998 3683997 4911996 5321329 7367994 10642658 14735988 15963987 21285316 31927974 47891961 63855948 69177277 95783922 138354554 191567844 207531831 276709108 415063662 622595493 830127324 1245190986 2490381972