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1407139848 = 2332193133181
BaseRepresentation
bin101001111011111…
…0100000000001000
310122001210002222200
41103313310000020
510340211433343
6351343520200
746604330352
oct12367640010
93561702880
101407139848
11662325aa4
123332b9060
131956ab53a
14d4c500d2
15838054d3
hex53df4008

1407139848 has 96 divisors (see below), whose sum is σ = 4141113600. Its totient is φ = 430012800.

The previous prime is 1407139847. The next prime is 1407139913. The reversal of 1407139848 is 8489317041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1407139843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25818 + ... + 58998.

It is an arithmetic number, because the mean of its divisors is an integer number (43136600).

Almost surely, 21407139848 is an apocalyptic number.

1407139848 is a gapful number since it is divisible by the number (18) 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 1407139848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070556800).

1407139848 is an abundant number, since it is smaller than the sum of its proper divisors (2733973752).

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

1407139848 is a wasteful number, since it uses less digits than its factorization.

1407139848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33243 (or 33236 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1407139848 is about 37511.8627636645. The cubic root of 1407139848 is about 1120.5874490522.

The spelling of 1407139848 in words is "one billion, four hundred seven million, one hundred thirty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 1116 1178 1368 1767 2232 2356 3534 4712 5301 7068 10602 14136 21204 33181 42408 66362 99543 132724 199086 265448 298629 398172 597258 630439 796344 1028611 1194516 1260878 1891317 2057222 2389032 2521756 3085833 3782634 4114444 5043512 5673951 6171666 7565268 8228888 9257499 11347902 12343332 15130536 18514998 19543609 22695804 24686664 37029996 39087218 45391608 58630827 74059992 78174436 117261654 156348872 175892481 234523308 351784962 469046616 703569924 1407139848