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4079531148 = 2237114579661
BaseRepresentation
bin1111001100101000…
…1011010010001100
3101112022100122200020
43303022023102030
531323324444043
61512450302140
7203044304550
oct36312132214
911468318606
104079531148
111803875150
1295a287950
13500249574
142a9b37860
1518d234e83
hexf328b48c

4079531148 has 96 divisors (see below), whose sum is σ = 11894926848. Its totient is φ = 1057190400.

The previous prime is 4079531107. The next prime is 4079531161. The reversal of 4079531148 is 8411359704.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417438 + ... + 427098.

It is an arithmetic number, because the mean of its divisors is an integer number (123905488).

Almost surely, 24079531148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4079531148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947463424).

4079531148 is an abundant number, since it is smaller than the sum of its proper divisors (7815395700).

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

4079531148 is a wasteful number, since it uses less digits than its factorization.

4079531148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10143 (or 10141 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 4079531148 is about 63871.2075038511. The cubic root of 4079531148 is about 1597.8527378090.

The spelling of 4079531148 in words is "four billion, seventy-nine million, five hundred thirty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 457 462 914 924 1371 1828 2742 3199 5027 5484 6398 9597 9661 10054 12796 15081 19194 19322 20108 28983 30162 35189 38388 38644 57966 60324 67627 70378 105567 106271 115932 135254 140756 202881 211134 212542 270508 318813 405762 422268 425084 637626 743897 811524 1275252 1487794 2231691 2975588 4415077 4463382 8830154 8926764 13245231 17660308 26490462 30905539 48565847 52980924 61811078 92716617 97131694 123622156 145697541 185433234 194263388 291395082 339960929 370866468 582790164 679921858 1019882787 1359843716 2039765574 4079531148