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1419677952 = 28371124007
BaseRepresentation
bin101010010011110…
…1001000100000000
310122221101010000220
41110213221010000
510401414143302
6352512343040
750116030530
oct12447510400
93587333026
101419677952
1166940a070
12337544a80
1319817b434
14d67954c0
15849804bc
hex549e9100

1419677952 has 144 divisors (see below), whose sum is σ = 4710945792. Its totient is φ = 368732160.

The previous prime is 1419677887. The next prime is 1419677969. The reversal of 1419677952 is 2597769141.

It is a junction number, because it is equal to n+sod(n) for n = 1419677895 and 1419677904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47133 + ... + 71139.

Almost surely, 21419677952 is an apocalyptic number.

1419677952 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 1419677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355472896).

1419677952 is an abundant number, since it is smaller than the sum of its proper divisors (3291267840).

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

1419677952 is a wasteful number, since it uses less digits than its factorization.

1419677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24044 (or 24030 counting only the distinct ones).

The product of its digits is 952560, while the sum is 51.

The square root of 1419677952 is about 37678.6139872475. The cubic root of 1419677952 is about 1123.9058865911.

The spelling of 1419677952 in words is "one billion, four hundred nineteen million, six hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 24007 29568 48014 59136 72021 96028 144042 168049 192056 264077 288084 336098 384112 504147 528154 576168 672196 768224 792231 1008294 1056308 1152336 1344392 1536448 1584462 1848539 2016588 2112616 2304672 2688784 3072896 3168924 3697078 4033176 4225232 4609344 5377568 5545617 6145792 6337848 7394156 8066352 8450464 9218688 10755136 11091234 12675696 14788312 16132704 16900928 18437376 21510272 22182468 25351392 29576624 32265408 33801856 43020544 44364936 50702784 59153248 64530816 67603712 88729872 101405568 118306496 129061632 177459744 202811136 236612992 354919488 473225984 709838976 1419677952