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1450664952 = 2331141223601
BaseRepresentation
bin101011001110111…
…0110001111111000
310202002200102012120
41112131312033320
510432332234302
6355540441240
750643306612
oct12635661770
93662612176
101450664952
11684954060
123459a9220
131a170a739
14da93ddb2
15875519bc
hex567763f8

1450664952 has 128 divisors (see below), whose sum is σ = 4077803520. Its totient is φ = 426240000.

The previous prime is 1450664939. The next prime is 1450664981. The reversal of 1450664952 is 2594660541.

It is a super-2 number, since 2×14506649522 = 4208857605922324608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2413452 + ... + 2414052.

It is an arithmetic number, because the mean of its divisors is an integer number (31857840).

Almost surely, 21450664952 is an apocalyptic number.

1450664952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450664952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038901760).

1450664952 is an abundant number, since it is smaller than the sum of its proper divisors (2627138568).

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

1450664952 is a wasteful number, since it uses less digits than its factorization.

1450664952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 1450664952 is about 38087.5957760529. The cubic root of 1450664952 is about 1132.0241871577.

The spelling of 1450664952 in words is "one billion, four hundred fifty million, six hundred sixty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 223 246 264 328 446 451 492 601 669 892 902 984 1202 1338 1353 1784 1803 1804 2404 2453 2676 2706 3606 3608 4808 4906 5352 5412 6611 7212 7359 9143 9812 10824 13222 14424 14718 18286 19624 19833 24641 26444 27429 29436 36572 39666 49282 52888 54858 58872 73144 73923 79332 98564 100573 109716 134023 147846 158664 197128 201146 219432 268046 271051 295692 301719 402069 402292 536092 542102 591384 603438 804138 804584 813153 1072184 1084204 1206876 1474253 1608276 1626306 2168408 2413752 2948506 3216552 3252612 4422759 5494943 5897012 6505224 8845518 10989886 11794024 16484829 17691036 21979772 32969658 35382072 43959544 60444373 65939316 120888746 131878632 181333119 241777492 362666238 483554984 725332476 1450664952