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1379516082 = 23747214869
BaseRepresentation
bin101001000111001…
…1011111010110010
310120010210200022020
41102032123322302
510311124003312
6344515452310
746120456530
oct12216337262
93503720266
101379516082
1164877893a
12325bb7096
1318ca59009
14d12dd150
158119a78c
hex5239beb2

1379516082 has 48 divisors (see below), whose sum is σ = 3221912640. Its totient is φ = 385735392.

The previous prime is 1379516077. The next prime is 1379516123. The reversal of 1379516082 is 2806159731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85344 + ... + 100212.

It is an arithmetic number, because the mean of its divisors is an integer number (67123180).

Almost surely, 21379516082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379516082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610956320).

1379516082 is an abundant number, since it is smaller than the sum of its proper divisors (1842396558).

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

1379516082 is a wasteful number, since it uses less digits than its factorization.

1379516082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1379516082 is about 37141.8373535828. The cubic root of 1379516082 is about 1113.2061302035.

The spelling of 1379516082 in words is "one billion, three hundred seventy-nine million, five hundred sixteen thousand, eighty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 2209 4418 6627 13254 14869 15463 29738 30926 44607 46389 89214 92778 104083 208166 312249 624498 698843 1397686 2096529 4193058 4891901 9783802 14675703 29351406 32845621 65691242 98536863 197073726 229919347 459838694 689758041 1379516082