Search a number
-
+
2031253728 = 253729104231
BaseRepresentation
bin111100100010010…
…0111100011100000
312020120011101021120
41321010213203200
513130000104403
6533320452240
7101223241350
oct17104474340
95216141246
102031253728
11952653a99
1248831a080
13264a9abaa
14153ab2b60
15bd4d7e53
hex791278e0

2031253728 has 96 divisors (see below), whose sum is σ = 6303951360. Its totient is φ = 560340480.

The previous prime is 2031253669. The next prime is 2031253733. The reversal of 2031253728 is 8273521302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32628 + ... + 71603.

It is an arithmetic number, because the mean of its divisors is an integer number (65666160).

Almost surely, 22031253728 is an apocalyptic number.

2031253728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2031253728 is an abundant number, since it is smaller than the sum of its proper divisors (4272697632).

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

2031253728 is a wasteful number, since it uses less digits than its factorization.

2031253728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104280 (or 104272 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2031253728 is about 45069.4323017275. The cubic root of 2031253728 is about 1266.4500295559.

The spelling of 2031253728 in words is "two billion, thirty-one million, two hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 104231 208462 312693 416924 625386 729617 833848 1250772 1459234 1667696 2188851 2501544 2918468 3022699 3335392 4377702 5003088 5836936 6045398 8755404 9068097 10006176 11673872 12090796 17510808 18136194 21158893 23347744 24181592 35021616 36272388 42317786 48363184 63476679 70043232 72544776 84635572 96726368 126953358 145089552 169271144 253906716 290179104 338542288 507813432 677084576 1015626864 2031253728