Search a number
-
+
2530771992 = 23337334159
BaseRepresentation
bin1001011011011000…
…1000010000011000
320112101002112112000
42112312020100120
520140334200432
61055043121000
7116500131000
oct22666102030
96471075460
102530771992
111089611501
125a7673160
13314414928
141a0181000
15ec2a857c
hex96d88418

2530771992 has 128 divisors (see below), whose sum is σ = 8198400000. Its totient is φ = 723056544.

The previous prime is 2530771979. The next prime is 2530771993. The reversal of 2530771992 is 2991770352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530771993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57009 + ... + 91167.

It is an arithmetic number, because the mean of its divisors is an integer number (64050000).

Almost surely, 22530771992 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 2530771992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099200000).

2530771992 is an abundant number, since it is smaller than the sum of its proper divisors (5667628008).

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

2530771992 is a wasteful number, since it uses less digits than its factorization.

2530771992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34195 (or 34171 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 2530771992 is about 50306.7787877538. The cubic root of 2530771992 is about 1362.7546517488.

The spelling of 2530771992 in words is "two billion, five hundred thirty million, seven hundred seventy-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 8232 9261 10584 12348 18522 24696 34159 37044 68318 74088 102477 136636 204954 239113 273272 307431 409908 478226 614862 717339 819816 922293 956452 1229724 1434678 1673791 1844586 1912904 2152017 2459448 2869356 3347582 3689172 4304034 5021373 5738712 6456051 6695164 7378344 8608068 10042746 11716537 12912102 13390328 15064119 17216136 20085492 23433074 25824204 30128238 35149611 40170984 45192357 46866148 51648408 60256476 70299222 90384714 93732296 105448833 120512952 140598444 180769428 210897666 281196888 316346499 361538856 421795332 632692998 843590664 1265385996 2530771992