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4892976264 = 23311315471093
BaseRepresentation
bin1001000111010010…
…01110010010001000
3110121222222221121010
410203221032102020
540010100220024
62125305243520
7232152416631
oct44351162210
913558887533
104892976264
112090a59540
12b467935a0
135cc929137
14345ba2888
151d9865b29
hex123a4e488

4892976264 has 128 divisors (see below), whose sum is σ = 13812756480. Its totient is φ = 1430956800.

The previous prime is 4892976247. The next prime is 4892976269. The reversal of 4892976264 is 4626792984.

It is not an unprimeable number, because it can be changed into a prime (4892976269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4476102 + ... + 4477194.

It is an arithmetic number, because the mean of its divisors is an integer number (107912160).

Almost surely, 24892976264 is an apocalyptic number.

4892976264 is a gapful number since it is divisible by the number (44) 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 4892976264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906378240).

4892976264 is an abundant number, since it is smaller than the sum of its proper divisors (8919780216).

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

4892976264 is a wasteful number, since it uses less digits than its factorization.

4892976264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1687 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 4892976264 is about 69949.8124657958. The cubic root of 4892976264 is about 1697.6873124450.

The spelling of 4892976264 in words is "four billion, eight hundred ninety-two million, nine hundred seventy-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 547 682 744 1023 1093 1094 1364 1641 2046 2186 2188 2728 3279 3282 4092 4372 4376 6017 6558 6564 8184 8744 12023 12034 13116 13128 16957 18051 24046 24068 26232 33883 33914 36069 36102 48092 48136 50871 67766 67828 72138 72204 96184 101649 101742 135532 135656 144276 144408 186527 203298 203484 271064 288552 372713 373054 406596 406968 559581 597871 745426 746108 813192 1118139 1119162 1195742 1490852 1492216 1793613 2236278 2238324 2391484 2981704 3587226 4472556 4476648 4782968 6576581 7174452 8945112 13153162 14348904 18534001 19729743 26306324 37068002 39459486 52612648 55602003 74136004 78918972 111204006 148272008 157837944 203874011 222408012 407748022 444816024 611622033 815496044 1223244066 1630992088 2446488132 4892976264