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2076072552 = 233323509821
BaseRepresentation
bin111101110111110…
…0101101001101000
312100200111102011000
41323233211221220
513222433310202
6542001235000
7102306216441
oct17357455150
95320442130
102076072552
11975986044
1249b332a60
13271160bc8
14159a1c2c8
15c23dc91c
hex7bbe5a68

2076072552 has 128 divisors (see below), whose sum is σ = 6036768000. Its totient is φ = 659831040.

The previous prime is 2076072527. The next prime is 2076072571. The reversal of 2076072552 is 2552706702.

2076072552 is a `hidden beast` number, since 20 + 7 + 607 + 25 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2528302 + ... + 2529122.

It is an arithmetic number, because the mean of its divisors is an integer number (47162250).

Almost surely, 22076072552 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 2076072552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018384000).

2076072552 is an abundant number, since it is smaller than the sum of its proper divisors (3960695448).

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

2076072552 is a wasteful number, since it uses less digits than its factorization.

2076072552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2076072552 is about 45563.9391624561. The cubic root of 2076072552 is about 1275.6969255597.

The spelling of 2076072552 in words is "two billion, seventy-six million, seventy-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 509 552 621 821 828 1018 1242 1527 1642 1656 2036 2463 2484 3054 3284 4072 4581 4926 4968 6108 6568 7389 9162 9852 11707 12216 13743 14778 18324 18883 19704 22167 23414 27486 29556 35121 36648 37766 44334 46828 54972 56649 59112 70242 75532 88668 93656 105363 109944 113298 140484 151064 169947 177336 210726 226596 280968 316089 339894 417889 421452 453192 509841 632178 679788 835778 842904 1019682 1253667 1264356 1359576 1671556 2039364 2507334 2528712 3343112 3761001 4078728 5014668 7522002 9611447 10029336 11283003 15044004 19222894 22566006 28834341 30088008 38445788 45132012 57668682 76891576 86503023 90264024 115337364 173006046 230674728 259509069 346012092 519018138 692024184 1038036276 2076072552