Search a number
-
+
4131425328 = 2433714531601
BaseRepresentation
bin1111011001000000…
…1000110000110000
3101122221000011002220
43312100020300300
531430121102303
61521542441040
7204244351542
oct36620106060
911587004086
104131425328
111830099aa8
12973733180
1350ac18b94
142b29a5692
15192a86053
hexf6408c30

4131425328 has 80 divisors (see below), whose sum is σ = 10975699296. Its totient is φ = 1338163200.

The previous prime is 4131425321. The next prime is 4131425351. The reversal of 4131425328 is 8235241314.

It is not an unprimeable number, because it can be changed into a prime (4131425321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2579728 + ... + 2581328.

Almost surely, 24131425328 is an apocalyptic number.

4131425328 is a gapful number since it is divisible by the number (48) 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 4131425328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487849648).

4131425328 is an abundant number, since it is smaller than the sum of its proper divisors (6844273968).

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

4131425328 is a wasteful number, since it uses less digits than its factorization.

4131425328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3096 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 4131425328 is about 64276.1645402088. The cubic root of 4131425328 is about 1604.5994384759.

The spelling of 4131425328 in words is "four billion, one hundred thirty-one million, four hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1453 1601 1776 2906 3202 4359 4803 5812 6404 8718 9606 11624 12808 17436 19212 23248 25616 34872 38424 53761 59237 69744 76848 107522 118474 161283 177711 215044 236948 322566 355422 430088 473896 645132 710844 860176 947792 1290264 1421688 2326253 2580528 2843376 4652506 6978759 9305012 13957518 18610024 27915036 37220048 55830072 86071361 111660144 172142722 258214083 344285444 516428166 688570888 1032856332 1377141776 2065712664 4131425328