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2990672928 = 2536128201
BaseRepresentation
bin1011001001000010…
…0000110000100000
321201102110221000000
42302100200300200
522111103013203
61212432300000
7134053205025
oct26220406040
97642427000
102990672928
1112a517a921
126b56a1600
1338879a069
1420529954c
151278504a3
hexb2420c20

2990672928 has 84 divisors (see below), whose sum is σ = 8827861518. Its totient is φ = 996883200.

The previous prime is 2990672921. The next prime is 2990672947. The reversal of 2990672928 is 8292760992.

It is a happy number.

2990672928 is a `hidden beast` number, since 299 + 0 + 67 + 292 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2146654224 + 844018704 = 46332^2 + 29052^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2990672921) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 40773 + ... + 87428.

Almost surely, 22990672928 is an apocalyptic number.

It is an amenable number.

2990672928 is an abundant number, since it is smaller than the sum of its proper divisors (5837188590).

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

2990672928 is an equidigital number, since it uses as much as digits as its factorization.

2990672928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128229 (or 128206 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2990672928 is about 54687.0453398243. The cubic root of 2990672928 is about 1440.7533558028.

The spelling of 2990672928 in words is "two billion, nine hundred ninety million, six hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 128201 256402 384603 512804 769206 1025608 1153809 1538412 2051216 2307618 3076824 3461427 4102432 4615236 6153648 6922854 9230472 10384281 12307296 13845708 18460944 20768562 27691416 31152843 36921888 41537124 55382832 62305686 83074248 93458529 110765664 124611372 166148496 186917058 249222744 332296992 373834116 498445488 747668232 996890976 1495336464 2990672928