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1029896464 = 247121132
BaseRepresentation
bin111101011000101…
…111100100010000
32122202221011100111
4331120233210100
54102123141324
6250110131104
734343655412
oct7530574420
92582834314
101029896464
11489393503
12248ab0a94
131354a6cbc
149aad09b2
1560639794
hex3d62f910

1029896464 has 45 divisors (see below), whose sum is σ = 2041994149. Its totient is φ = 503202560.

The previous prime is 1029896411. The next prime is 1029896471. The reversal of 1029896464 is 4646989201.

The square root of 1029896464 is 32092.

It is a perfect power (a square), and thus also a powerful number.

1029896464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18147600 + 1011748864 = 4260^2 + 31808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9114072 + ... + 9114184.

Almost surely, 21029896464 is an apocalyptic number.

1029896464 is the 32092-nd square number.

It is an amenable number.

1029896464 is a deficient number, since it is larger than the sum of its proper divisors (1012097685).

1029896464 is an frugal number, since it uses more digits than its factorization.

1029896464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The cubic root of 1029896464 is about 1009.8677943479.

Multiplying 1029896464 by its sum of digits (49), we get a square (50464926736 = 2246442).

Multiplying 1029896464 by its product of nonzero digits (746496), we get a square (768813590790144 = 277274882).

The spelling of 1029896464 in words is "one billion, twenty-nine million, eight hundred ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 71 113 142 226 284 452 568 904 1136 1808 5041 8023 10082 12769 16046 20164 25538 32092 40328 51076 64184 80656 102152 128368 204304 569633 906599 1139266 1813198 2278532 3626396 4557064 7252792 9114128 14505584 64368529 128737058 257474116 514948232 1029896464