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2051596932 = 22371110392137
BaseRepresentation
bin111101001001000…
…1110001010000100
312021222102220220120
41322102032022010
513200202100212
6535324501540
7101561200110
oct17222161204
95258386816
102051596932
11963089160
124930aa8b0
132690715a8
1415668a740
15c01a588c
hex7a48e284

2051596932 has 96 divisors (see below), whose sum is σ = 5976821760. Its totient is φ = 532120320.

The previous prime is 2051596913. The next prime is 2051596949. The reversal of 2051596932 is 2396951502.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 958968 + ... + 961104.

It is an arithmetic number, because the mean of its divisors is an integer number (62258560).

Almost surely, 22051596932 is an apocalyptic number.

2051596932 is a gapful number since it is divisible by the number (22) 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 2051596932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988410880).

2051596932 is an abundant number, since it is smaller than the sum of its proper divisors (3925224828).

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

2051596932 is a wasteful number, since it uses less digits than its factorization.

2051596932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 2051596932 is about 45294.5574213945. The cubic root of 2051596932 is about 1270.6638668583.

The spelling of 2051596932 in words is "two billion, fifty-one million, five hundred ninety-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1039 2078 2137 3117 4156 4274 6234 6411 7273 8548 11429 12468 12822 14546 14959 21819 22858 23507 25644 29092 29918 34287 43638 44877 45716 47014 59836 68574 70521 80003 87276 89754 94028 137148 141042 160006 164549 179508 240009 282084 320012 329098 480018 493647 658196 960036 987294 1974588 2220343 4440686 6661029 8881372 13322058 15542401 24423773 26644116 31084802 46627203 48847546 62169604 73271319 93254406 97695092 146542638 170966411 186508812 293085276 341932822 512899233 683865644 1025798466 2051596932