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2425934420 = 2257134093259
BaseRepresentation
bin1001000010011000…
…1101001001010100
320021001211020101222
42100212031021110
514432014400140
61040420105512
7114055050050
oct22046151124
96231736358
102425934420
111035416488
12578535298
132c8799270
14190290c60
15e2e9a5b5
hex9098d254

2425934420 has 96 divisors (see below), whose sum is σ = 6287366400. Its totient is φ = 765656064.

The previous prime is 2425934387. The next prime is 2425934429. The reversal of 2425934420 is 244395242.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425934429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742751 + ... + 746009.

It is an arithmetic number, because the mean of its divisors is an integer number (65493400).

Almost surely, 22425934420 is an apocalyptic number.

2425934420 is a gapful number since it is divisible by the number (20) 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 2425934420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143683200).

2425934420 is an abundant number, since it is smaller than the sum of its proper divisors (3861431980).

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

2425934420 is a wasteful number, since it uses less digits than its factorization.

2425934420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 2425934420 is about 49253.7756928339. The cubic root of 2425934420 is about 1343.6712313806.

The spelling of 2425934420 in words is "two billion, four hundred twenty-five million, nine hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 409 455 818 910 1636 1820 2045 2863 3259 4090 5317 5726 6518 8180 10634 11452 13036 14315 16295 21268 22813 26585 28630 32590 37219 42367 45626 53170 57260 65180 74438 84734 91252 106340 114065 148876 169468 186095 211835 228130 296569 372190 423670 456260 593138 744380 847340 1186276 1332931 1482845 2665862 2965690 5331724 5931380 6664655 9330517 13329310 17328103 18661034 26658620 34656206 37322068 46652585 69312412 86640515 93305170 121296721 173281030 186610340 242593442 346562060 485186884 606483605 1212967210 2425934420