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2425703742 = 23272111913159
BaseRepresentation
bin1001000010010101…
…0100110100111110
320021001101111222100
42100211110310332
514431440004432
61040411125530
7114053066400
oct22045246476
96231344870
102425703742
111035279140
125784438a6
132c8718277
14190230b70
15e2e5207c
hex90954d3e

2425703742 has 144 divisors (see below), whose sum is σ = 7021123200. Its totient is φ = 596846880.

The previous prime is 2425703677. The next prime is 2425703743. The reversal of 2425703742 is 2473075242.

It is a happy number.

2425703742 is a `hidden beast` number, since 2 + 42 + 570 + 3 + 7 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2425703697 and 2425703706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425703743) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177759 + ... + 190917.

It is an arithmetic number, because the mean of its divisors is an integer number (48757800).

Almost surely, 22425703742 is an apocalyptic number.

2425703742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425703742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510561600).

2425703742 is an abundant number, since it is smaller than the sum of its proper divisors (4595419458).

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

2425703742 is a wasteful number, since it uses less digits than its factorization.

2425703742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2425703742 is about 49251.4339080600. The cubic root of 2425703742 is about 1343.6286408892.

Adding to 2425703742 its reverse (2473075242), we get a palindrome (4898778984).

The spelling of 2425703742 in words is "two billion, four hundred twenty-five million, seven hundred three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 49 57 63 66 77 98 99 114 126 133 147 154 171 198 209 231 266 294 342 399 418 441 462 539 627 693 798 882 931 1078 1197 1254 1386 1463 1617 1862 1881 2394 2793 2926 3234 3762 4389 4851 5586 8379 8778 9702 10241 13159 13167 16758 20482 26318 26334 30723 39477 61446 78954 92113 92169 118431 144749 184226 184338 236862 250021 276339 289498 434247 500042 552678 644791 750063 829017 868494 1013243 1289582 1302741 1500126 1658034 1750147 1934373 2026486 2250189 2605482 2750231 3039729 3500294 3868746 4500378 5250441 5500462 5803119 6079458 7092701 8250693 9119187 10500882 11606238 12251029 14185402 15751323 16501386 18238374 19251617 21278103 24502058 24752079 31502646 36753087 38503234 42556206 49504158 57754851 63834309 73506174 110259261 115509702 127668618 134761319 173264553 220518522 269522638 346529106 404283957 808567914 1212851871 2425703742