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2025542064 = 243713235671
BaseRepresentation
bin111100010111011…
…0101000110110000
312020011102012100110
41320232311012300
513122014321224
6532554221320
7101123552310
oct17056650660
95204365313
102025542064
1194a402807
12486424840
1326384b200
14153027440
15bcc5a929
hex78bb51b0

2025542064 has 120 divisors (see below), whose sum is σ = 6475752192. Its totient is φ = 534193920.

The previous prime is 2025542053. The next prime is 2025542083. The reversal of 2025542064 is 4602455202.

It is a happy number.

2025542064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 38949 + ... + 74619.

Almost surely, 22025542064 is an apocalyptic number.

2025542064 is a gapful number since it is divisible by the number (24) 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 2025542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237876096).

2025542064 is an abundant number, since it is smaller than the sum of its proper divisors (4450210128).

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

2025542064 is a wasteful number, since it uses less digits than its factorization.

2025542064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35715 (or 35696 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2025542064 is about 45006.0225303237. The cubic root of 2025542064 is about 1265.2618754083.

Adding to 2025542064 its reverse (4602455202), we get a palindrome (6627997266).

The spelling of 2025542064 in words is "two billion, twenty-five million, five hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 9464 14196 18928 28392 35671 56784 71342 107013 142684 214026 249697 285368 428052 463723 499394 570736 749091 856104 927446 998788 1391169 1498182 1712208 1854892 1997576 2782338 2996364 3246061 3709784 3995152 5564676 5992728 6028399 6492122 7419568 9738183 11129352 11985456 12056798 12984244 18085197 19476366 22258704 24113596 25968488 36170394 38952732 42198793 48227192 51936976 72340788 77905464 84397586 96454384 126596379 144681576 155810928 168795172 253192758 289363152 337590344 506385516 675180688 1012771032 2025542064