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1408666752 = 27321222801
BaseRepresentation
bin101001111110110…
…1000110010000000
310122011122200111200
41103331220302000
510341104314002
6351440341200
746623320103
oct12375506200
93564580450
101408666752
116631791a9
12333914800
13195ac452c
14d512a73a
1583a07b1c
hex53f68c80

1408666752 has 48 divisors (see below), whose sum is σ = 4053588630. Its totient is φ = 469555200.

The previous prime is 1408666741. The next prime is 1408666771. The reversal of 1408666752 is 2576668041.

It can be written as a sum of positive squares in only one way, i.e., 1020419136 + 388247616 = 31944^2 + 19704^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1408666698 and 1408666707.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610249 + ... + 612552.

Almost surely, 21408666752 is an apocalyptic number.

1408666752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1408666752 is an abundant number, since it is smaller than the sum of its proper divisors (2644921878).

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

1408666752 is a wasteful number, since it uses less digits than its factorization.

1408666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222821 (or 1222806 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1408666752 is about 37532.2095272847. The cubic root of 1408666752 is about 1120.9926234082.

The spelling of 1408666752 in words is "one billion, four hundred eight million, six hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1222801 2445602 3668403 4891204 7336806 9782408 11005209 14673612 19564816 22010418 29347224 39129632 44020836 58694448 78259264 88041672 117388896 156518528 176083344 234777792 352166688 469555584 704333376 1408666752