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2025482496 = 28329199457
BaseRepresentation
bin111100010111010…
…0110100100000000
312020011022011122020
41320232212210000
513122010414441
6532553041440
7101123213532
oct17056464400
95204264566
102025482496
1194a371a84
124863b6280
1326382a06b
1415300d852
15bcc47e66
hex78ba6900

2025482496 has 144 divisors (see below), whose sum is σ = 5616912000. Its totient is φ = 647184384.

The previous prime is 2025482461. The next prime is 2025482497. The reversal of 2025482496 is 6942845202.

It is not an unprimeable number, because it can be changed into a prime (2025482497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4431900 + ... + 4432356.

Almost surely, 22025482496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808456000).

2025482496 is an abundant number, since it is smaller than the sum of its proper divisors (3591429504).

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

2025482496 is a wasteful number, since it uses less digits than its factorization.

2025482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2025482496 is about 45005.3607473599. The cubic root of 2025482496 is about 1265.2494721675.

The spelling of 2025482496 in words is "two billion, twenty-five million, four hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 199 232 256 348 384 398 457 464 597 696 768 796 914 928 1194 1371 1392 1592 1828 1856 2388 2742 2784 3184 3656 3712 4776 5484 5568 5771 6368 7312 7424 9552 10968 11136 11542 12736 13253 14624 17313 19104 21936 22272 23084 25472 26506 29248 34626 38208 39759 43872 46168 50944 53012 58496 69252 76416 79518 87744 90943 92336 106024 116992 138504 152832 159036 175488 181886 184672 212048 272829 277008 318072 350976 363772 369344 424096 545658 554016 636144 727544 738688 848192 1091316 1108032 1272288 1455088 1477376 1696384 2182632 2216064 2544576 2637347 2910176 3392768 4365264 4432128 5089152 5274694 5820352 7912041 8730528 10178304 10549388 11640704 15824082 17461056 21098776 23281408 31648164 34922112 42197552 63296328 69844224 84395104 126592656 168790208 253185312 337580416 506370624 675160832 1012741248 2025482496