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2046629772 = 2232119753281
BaseRepresentation
bin111100111111101…
…0001011110001100
312021122002120020200
41321333101132030
513142414123042
6535030213500
7101501031435
oct17177213614
95248076220
102046629772
119602a6270
124914b4290
13268022745
14155b5648c
15bea23c4c
hex79fd178c

2046629772 has 72 divisors (see below), whose sum is σ = 5702026512. Its totient is φ = 613785600.

The previous prime is 2046629747. The next prime is 2046629801. The reversal of 2046629772 is 2779266402.

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 23 ways as a sum of consecutive naturals, for example, 11772 + ... + 65052.

Almost surely, 22046629772 is an apocalyptic number.

2046629772 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 2046629772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851013256).

2046629772 is an abundant number, since it is smaller than the sum of its proper divisors (3655396740).

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

2046629772 is a wasteful number, since it uses less digits than its factorization.

2046629772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53399 (or 53394 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2046629772 is about 45239.6924392728. The cubic root of 2046629772 is about 1269.6375620644.

The spelling of 2046629772 in words is "two billion, forty-six million, six hundred twenty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1746 2134 3201 3492 4268 6402 9603 12804 19206 38412 53281 106562 159843 213124 319686 479529 586091 639372 959058 1172182 1758273 1918116 2344364 3516546 5168257 5274819 7033092 10336514 10549638 15504771 20673028 21099276 31009542 46514313 56850827 62019084 93028626 113701654 170552481 186057252 227403308 341104962 511657443 682209924 1023314886 2046629772