Search a number
-
+
1074876852 = 223761892357
BaseRepresentation
bin100000000010001…
…0101000110110100
32202220120101211210
41000010111012310
54200132024402
6254354201420
735431205520
oct10004250664
92686511753
101074876852
11501815985
1225bb83270
131418c570a
14a2a7cd80
156457206c
hex401151b4

1074876852 has 96 divisors (see below), whose sum is σ = 2947311360. Its totient is φ = 298552320.

The previous prime is 1074876841. The next prime is 1074876863. The reversal of 1074876852 is 2586784701.

It is an interprime number because it is at equal distance from previous prime (1074876841) and next prime (1074876863).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454858 + ... + 457214.

It is an arithmetic number, because the mean of its divisors is an integer number (30701160).

Almost surely, 21074876852 is an apocalyptic number.

1074876852 is a gapful number since it is divisible by the number (12) 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 1074876852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473655680).

1074876852 is an abundant number, since it is smaller than the sum of its proper divisors (1872434508).

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

1074876852 is a wasteful number, since it uses less digits than its factorization.

1074876852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 1074876852 is about 32785.3145783291. The cubic root of 1074876852 is about 1024.3606886219.

The spelling of 1074876852 in words is "one billion, seventy-four million, eight hundred seventy-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 89 122 178 183 244 267 356 366 427 534 623 732 854 1068 1246 1281 1708 1869 2357 2492 2562 3738 4714 5124 5429 7071 7476 9428 10858 14142 16287 16499 21716 28284 32574 32998 38003 49497 65148 65996 76006 98994 114009 143777 152012 197988 209773 228018 287554 419546 431331 456036 575108 629319 839092 862662 1006439 1258638 1468411 1725324 2012878 2517276 2936822 3019317 4025756 4405233 5873644 6038634 8810466 12077268 12796153 17620932 25592306 38388459 51184612 76776918 89573071 153553836 179146142 268719213 358292284 537438426 1074876852