Search a number
-
+
1156674048 = 29323291129
BaseRepresentation
bin100010011110001…
…0111001000000000
32222121111010111120
41010330113020000
54332102032143
6310435312240
740443365355
oct10474271000
92877433446
101156674048
11543a04372
1228344b680
13155834b1a
14ad89262c
156b82d383
hex44f17200

1156674048 has 160 divisors (see below), whose sum is σ = 3329251200. Its totient is φ = 355762176.

The previous prime is 1156674031. The next prime is 1156674073. The reversal of 1156674048 is 8404766511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023948 + ... + 1025076.

It is an arithmetic number, because the mean of its divisors is an integer number (20807820).

Almost surely, 21156674048 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 1156674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664625600).

1156674048 is an abundant number, since it is smaller than the sum of its proper divisors (2172577152).

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

1156674048 is a wasteful number, since it uses less digits than its factorization.

1156674048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1156674048 is about 34009.9110260524. The cubic root of 1156674048 is about 1049.7124074040.

The spelling of 1156674048 in words is "one billion, one hundred fifty-six million, six hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 256 276 348 368 384 464 512 552 667 696 736 768 928 1104 1129 1334 1392 1472 1536 1856 2001 2208 2258 2668 2784 2944 3387 3712 4002 4416 4516 5336 5568 5888 6774 7424 8004 8832 9032 10672 11136 11776 13548 14848 16008 17664 18064 21344 22272 25967 27096 32016 32741 35328 36128 42688 44544 51934 54192 64032 65482 72256 77901 85376 98223 103868 108384 128064 130964 144512 155802 170752 196446 207736 216768 256128 261928 289024 311604 341504 392892 415472 433536 512256 523856 578048 623208 753043 785784 830944 867072 1024512 1047712 1246416 1506086 1571568 1661888 1734144 2095424 2259129 2492832 3012172 3143136 3323776 4190848 4518258 4985664 6024344 6286272 6647552 8381696 9036516 9971328 12048688 12572544 13295104 16763392 18073032 19942656 24097376 25145088 36146064 39885312 48194752 50290176 72292128 96389504 144584256 192779008 289168512 385558016 578337024 1156674048