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1047455968 = 251313718379
BaseRepresentation
bin111110011011101…
…110100011100000
32200222222021110111
4332123232203200
54121122042333
6251534341104
734646141326
oct7633564340
92628867414
101047455968
11498297199
1225295a794
13139014640
149d181d16
1561e574cd
hex3e6ee8e0

1047455968 has 48 divisors (see below), whose sum is σ = 2237140080. Its totient is φ = 479886336.

The previous prime is 1047455947. The next prime is 1047456001. The reversal of 1047455968 is 8695547401.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 47803 + ... + 66181.

It is an arithmetic number, because the mean of its divisors is an integer number (46607085).

Almost surely, 21047455968 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 1047455968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118570040).

1047455968 is an abundant number, since it is smaller than the sum of its proper divisors (1189684112).

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

1047455968 is a wasteful number, since it uses less digits than its factorization.

1047455968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18539 (or 18531 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

The square root of 1047455968 is about 32364.4244194146. The cubic root of 1047455968 is about 1015.5748215783.

The spelling of 1047455968 in words is "one billion, forty-seven million, four hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 274 416 548 1096 1781 2192 3562 4384 7124 14248 18379 28496 36758 56992 73516 147032 238927 294064 477854 588128 955708 1911416 2517923 3822832 5035846 7645664 10071692 20143384 32732999 40286768 65465998 80573536 130931996 261863992 523727984 1047455968