Search a number
-
+
1051468608 = 26331117609
BaseRepresentation
bin111110101011000…
…010001101000000
32201021112010202210
4332223002031000
54123133443413
6252200342120
735025223101
oct7653021500
92637463683
101051468608
1149a587a23
12254174940
13139abab98
149d9083a8
156249b3c3
hex3eac2340

1051468608 has 56 divisors (see below), whose sum is σ = 2791114560. Its totient is φ = 349342720.

The previous prime is 1051468603. The next prime is 1051468619. The reversal of 1051468608 is 8068641501.

It is a super-2 number, since 2×10514686082 = 2211172467218915328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051468603) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50908 + ... + 68516.

Almost surely, 21051468608 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 1051468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395557280).

1051468608 is an abundant number, since it is smaller than the sum of its proper divisors (1739645952).

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

1051468608 is a wasteful number, since it uses less digits than its factorization.

1051468608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17935 (or 17925 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1051468608 is about 32426.3566871149. The cubic root of 1051468608 is about 1016.8700052063.

The spelling of 1051468608 in words is "one billion, fifty-one million, four hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 311 622 933 1244 1866 2488 3732 4976 7464 9952 14928 17609 19904 29856 35218 52827 59712 70436 105654 140872 211308 281744 422616 563488 845232 1126976 1690464 3380928 5476399 10952798 16429197 21905596 32858394 43811192 65716788 87622384 131433576 175244768 262867152 350489536 525734304 1051468608