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5177090304 = 283214992
BaseRepresentation
bin1001101001001010…
…00010000100000000
3111100210121102210100
410310211002010000
541100313342204
62213415002400
7242202353511
oct46445020400
914323542710
105177090304
112217372631
121005969400
13646754259
143717dca08
15204787a39
hex134942100

5177090304 has 81 divisors (see below), whose sum is σ = 14936792143. Its totient is φ = 1724545536.

The previous prime is 5177090273. The next prime is 5177090311. The reversal of 5177090304 is 4030907715.

It is a happy number.

The square root of 5177090304 is 71952.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3452947 + ... + 3454445.

Almost surely, 25177090304 is an apocalyptic number.

5177090304 is the 71952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5177090304

5177090304 is an abundant number, since it is smaller than the sum of its proper divisors (9759701839).

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

5177090304 is an frugal number, since it uses more digits than its factorization.

5177090304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The cubic root of 5177090304 is about 1729.9301991061.

Multiplying 5177090304 by its sum of digits (36), we get a square (186375250944 = 4317122).

5177090304 divided by its sum of digits (36) gives a square (143808064 = 119922).

The spelling of 5177090304 in words is "five billion, one hundred seventy-seven million, ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1499 2304 2998 4497 5996 8994 11992 13491 17988 23984 26982 35976 47968 53964 71952 95936 107928 143904 191872 215856 287808 383744 431712 575616 863424 1151232 1726848 2247001 3453696 4494002 6741003 8988004 13482006 17976008 20223009 26964012 35952016 40446018 53928024 71904032 80892036 107856048 143808064 161784072 215712096 287616128 323568144 431424192 575232256 647136288 862848384 1294272576 1725696768 2588545152 5177090304