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2025973992 = 233722297523
BaseRepresentation
bin111100011000001…
…1110100011101000
312020012020010211210
41320300132203220
513122122131432
6533011353120
7101130331500
oct17060364350
95205203753
102025973992
1194a678279
124865b27a0
1326396c9a3
141530daa00
15bcce38cc
hex78c1e8e8

2025973992 has 96 divisors (see below), whose sum is σ = 5918378400. Its totient is φ = 576245376.

The previous prime is 2025973981. The next prime is 2025974011. The reversal of 2025973992 is 2993795202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265543 + ... + 273065.

It is an arithmetic number, because the mean of its divisors is an integer number (61649775).

Almost surely, 22025973992 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 2025973992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959189200).

2025973992 is an abundant number, since it is smaller than the sum of its proper divisors (3892404408).

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

2025973992 is a wasteful number, since it uses less digits than its factorization.

2025973992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 2025973992 is about 45010.8208323288. The cubic root of 2025973992 is about 1265.3518041242.

The spelling of 2025973992 in words is "two billion, twenty-five million, nine hundred seventy-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 229 294 392 458 588 687 916 1176 1374 1603 1832 2748 3206 4809 5496 6412 7523 9618 11221 12824 15046 19236 22442 22569 30092 33663 38472 44884 45138 52661 60184 67326 89768 90276 105322 134652 157983 180552 210644 269304 315966 368627 421288 631932 737254 1105881 1263864 1474508 1722767 2211762 2949016 3445534 4423524 5168301 6891068 8847048 10336602 12059369 13782136 20673204 24118738 36178107 41346408 48237476 72356214 84415583 96474952 144712428 168831166 253246749 289424856 337662332 506493498 675324664 1012986996 2025973992