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2534994352 = 2411107227593
BaseRepresentation
bin1001011100011000…
…1111000110110000
320112200001001111201
42113012033012300
520142424304402
61055313420544
7116551045042
oct22706170660
96480031451
102534994352
111090a35860
125a8b6a754
13315262777
141a095da92
15ec83e687
hex9718f1b0

2534994352 has 80 divisors (see below), whose sum is σ = 5441116032. Its totient is φ = 1134556160.

The previous prime is 2534994349. The next prime is 2534994353.

2534994352 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2534994353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4274568 + ... + 4275160.

Almost surely, 22534994352 is an apocalyptic number.

2534994352 is a gapful number since it is divisible by the number (22) 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 2534994352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720558016).

2534994352 is an abundant number, since it is smaller than the sum of its proper divisors (2906121680).

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

2534994352 is a wasteful number, since it uses less digits than its factorization.

2534994352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 46.

The square root of 2534994352 is about 50348.7274119217. The cubic root of 2534994352 is about 1363.5121075348.

The spelling of 2534994352 in words is "two billion, five hundred thirty-four million, nine hundred ninety-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 227 428 454 593 856 908 1177 1186 1712 1816 2354 2372 2497 3632 4708 4744 4994 6523 9416 9488 9988 13046 18832 19976 24289 26092 39952 48578 52184 63451 97156 104368 126902 134611 194312 253804 267179 269222 388624 507608 534358 538444 697961 1015216 1068716 1076888 1395922 1480721 2137432 2153776 2791844 2961442 4274864 5583688 5922884 11167376 11845768 14403377 23691536 28806754 57613508 115227016 158437147 230454032 316874294 633748588 1267497176 2534994352