Search a number
-
+
1268949504 = 2931943481
BaseRepresentation
bin100101110100010…
…1010001000000000
310021102202022110210
41023220222020000
510044322341004
6325525554120
743305615144
oct11350521000
93242668423
101268949504
115a131a5a9
122b4b75940
13172b85ac4
14c075b224
157660a089
hex4ba2a200

1268949504 has 80 divisors (see below), whose sum is σ = 3558566880. Its totient is φ = 400711680.

The previous prime is 1268949497. The next prime is 1268949527. The reversal of 1268949504 is 4059498621.

It is a super-2 number, since 2×12689495042 = 3220465687403692032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7444 + ... + 50924.

It is an arithmetic number, because the mean of its divisors is an integer number (44482086).

Almost surely, 21268949504 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 1268949504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779283440).

1268949504 is an abundant number, since it is smaller than the sum of its proper divisors (2289617376).

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

1268949504 is an equidigital number, since it uses as much as digits as its factorization.

1268949504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43521 (or 43505 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 1268949504 is about 35622.3174990062. The cubic root of 1268949504 is about 1082.6334636240.

The spelling of 1268949504 in words is "one billion, two hundred sixty-eight million, nine hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3648 4864 7296 9728 14592 29184 43481 86962 130443 173924 260886 347848 521772 695696 826139 1043544 1391392 1652278 2087088 2478417 2782784 3304556 4174176 4956834 5565568 6609112 8348352 9913668 11131136 13218224 16696704 19827336 22262272 26436448 33393408 39654672 52872896 66786816 79309344 105745792 158618688 211491584 317237376 422983168 634474752 1268949504