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2435225104 = 24134732
BaseRepresentation
bin1001000100100110…
…1001011000010000
320021201022020211101
42101021221120100
514441404200404
61041351154144
7114230033434
oct22111513020
96251266741
102435225104
11103a691734
1257b675954
132ca6a0000
141915cc9c4
15e3bd32a4
hex91269610

2435225104 has 75 divisors (see below), whose sum is σ = 5182400913. Its totient is φ = 1108553472.

The previous prime is 2435225101. The next prime is 2435225123. The reversal of 2435225104 is 4015225342.

The square root of 2435225104 is 49348.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2422608400 + 12616704 = 49220^2 + 3552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2435225101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33359212 + ... + 33359284.

Almost surely, 22435225104 is an apocalyptic number.

2435225104 is the 49348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2435225104

2435225104 is an abundant number, since it is smaller than the sum of its proper divisors (2747175809).

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

2435225104 is an frugal number, since it uses more digits than its factorization.

2435225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The cubic root of 2435225104 is about 1345.3843475317.

The spelling of 2435225104 in words is "two billion, four hundred thirty-five million, two hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 169 208 292 338 584 676 949 1168 1352 1898 2197 2704 3796 4394 5329 7592 8788 10658 12337 15184 17576 21316 24674 28561 35152 42632 49348 57122 69277 85264 98696 114244 138554 160381 197392 228488 277108 320762 456976 554216 641524 900601 1108432 1283048 1801202 2084953 2566096 3602404 4169906 7204808 8339812 11707813 14409616 16679624 23415626 33359248 46831252 93662504 152201569 187325008 304403138 608806276 1217612552 2435225104