Search a number
-
+
2770883088 = 2431967137331
BaseRepresentation
bin1010010100101000…
…0101001000010000
321011002220110000120
42211022011020100
521133321224323
61134541350240
7125444055231
oct24512051020
97132813016
102770883088
1111a2100526
12653b68380
133520a41bc
141c4005088
151133d75e3
hexa5285210

2770883088 has 160 divisors (see below), whose sum is σ = 7726410240. Its totient is φ = 853079040.

The previous prime is 2770883083. The next prime is 2770883111. The reversal of 2770883088 is 8803880772.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2770883088.

It is not an unprimeable number, because it can be changed into a prime (2770883081) 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, 8371083 + ... + 8371413.

It is an arithmetic number, because the mean of its divisors is an integer number (48290064).

Almost surely, 22770883088 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 2770883088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863205120).

2770883088 is an abundant number, since it is smaller than the sum of its proper divisors (4955527152).

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

2770883088 is a wasteful number, since it uses less digits than its factorization.

2770883088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The square root of 2770883088 is about 52639.1782610633. The cubic root of 2770883088 is about 1404.5571039349.

The spelling of 2770883088 in words is "two billion, seven hundred seventy million, eight hundred eighty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 137 152 201 228 268 274 304 331 402 411 456 536 548 662 804 822 912 993 1072 1096 1273 1324 1608 1644 1986 2192 2546 2603 2648 3216 3288 3819 3972 5092 5206 5296 6289 6576 7638 7809 7944 9179 10184 10412 12578 15276 15618 15888 18358 18867 20368 20824 22177 25156 27537 30552 31236 36716 37734 41648 44354 45347 50312 55074 61104 62472 66531 73432 75468 88708 90694 100624 110148 124944 133062 136041 146864 150936 174401 177416 181388 220296 266124 272082 301872 348802 354832 362776 421363 440592 523203 532248 544164 697604 725552 842726 861593 1046406 1064496 1088328 1264089 1395208 1685452 1723186 2092812 2176656 2528178 2584779 2790416 3038249 3370904 3446372 4185624 5056356 5169558 6076498 6741808 6892744 8371248 9114747 10112712 10339116 12152996 13785488 18229494 20225424 20678232 24305992 36458988 41356464 48611984 57726731 72917976 115453462 145835952 173180193 230906924 346360386 461813848 692720772 923627696 1385441544 2770883088