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2046442164 = 2231335936541
BaseRepresentation
bin111100111111010…
…0011101010110100
312021121202000220020
41321332203222310
513142342122124
6535022205140
7101466320454
oct17176435264
95247660806
102046442164
11960188318
124914237b0
13267c88230
14155b07d64
15be9d8379
hex79fa3ab4

2046442164 has 48 divisors (see below), whose sum is σ = 5156807040. Its totient is φ = 627903360.

The previous prime is 2046442141. The next prime is 2046442183. The reversal of 2046442164 is 4612446402.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 37734 + ... + 74274.

It is an arithmetic number, because the mean of its divisors is an integer number (107433480).

Almost surely, 22046442164 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 2046442164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578403520).

2046442164 is an abundant number, since it is smaller than the sum of its proper divisors (3110364876).

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

2046442164 is a wasteful number, since it uses less digits than its factorization.

2046442164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36920 (or 36918 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2046442164 is about 45237.6189028556. The cubic root of 2046442164 is about 1269.5987663419.

Adding to 2046442164 its reverse (4612446402), we get a palindrome (6658888566).

The spelling of 2046442164 in words is "two billion, forty-six million, four hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 359 718 1077 1436 2154 4308 4667 9334 14001 18668 28002 36541 56004 73082 109623 146164 219246 438492 475033 950066 1425099 1900132 2850198 5700396 13118219 26236438 39354657 52472876 78709314 157418628 170536847 341073694 511610541 682147388 1023221082 2046442164