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2425770088 = 23733128517
BaseRepresentation
bin1001000010010110…
…0101000001101000
320021001111212222121
42100211211001220
514431444120323
61040412401024
7114053464000
oct22045450150
96231455877
102425770088
111035313a75
12578476174
132c873c521
1419024b000
15e2e66a5d
hex90965068

2425770088 has 64 divisors (see below), whose sum is σ = 5475456000. Its totient is φ = 1006044480.

The previous prime is 2425770079. The next prime is 2425770089. The reversal of 2425770088 is 8800775242.

It is not an unprimeable number, because it can be changed into a prime (2425770089) 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 15 ways as a sum of consecutive naturals, for example, 70806 + ... + 99322.

It is an arithmetic number, because the mean of its divisors is an integer number (85554000).

Almost surely, 22425770088 is an apocalyptic number.

2425770088 is a gapful number since it is divisible by the number (28) 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 2425770088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737728000).

2425770088 is an abundant number, since it is smaller than the sum of its proper divisors (3049685912).

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

2425770088 is a wasteful number, since it uses less digits than its factorization.

2425770088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28575 (or 28557 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The square root of 2425770088 is about 49252.1074472961. The cubic root of 2425770088 is about 1343.6408907464.

The spelling of 2425770088 in words is "two billion, four hundred twenty-five million, seven hundred seventy thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 343 392 434 686 868 1372 1519 1736 2744 3038 6076 10633 12152 21266 28517 42532 57034 85064 114068 199619 228136 399238 798476 884027 1397333 1596952 1768054 2794666 3536108 5589332 6188189 7072216 9781331 11178664 12376378 19562662 24752756 39125324 43317323 49505512 78250648 86634646 173269292 303221261 346538584 606442522 1212885044 2425770088