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2059948436 = 227213262189
BaseRepresentation
bin111101011001000…
…0101000110010100
312022120011020000112
41322302011012110
513204321322221
6540223502152
7102022162400
oct17262050624
95276136015
102059948436
11967872827
12495a57958
1326aa06a00
14157822100
15c0ca515b
hex7ac85194

2059948436 has 54 divisors (see below), whose sum is σ = 4540927230. Its totient is φ = 814911552.

The previous prime is 2059948417. The next prime is 2059948453. The reversal of 2059948436 is 6348499502.

It can be written as a sum of positive squares in 3 ways, for example, as 90364036 + 1969584400 = 9506^2 + 44380^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2030 + ... + 64218.

It is an arithmetic number, because the mean of its divisors is an integer number (84091245).

Almost surely, 22059948436 is an apocalyptic number.

2059948436 is a gapful number since it is divisible by the number (26) 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 2059948436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270463615).

2059948436 is an abundant number, since it is smaller than the sum of its proper divisors (2480978794).

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

2059948436 is a wasteful number, since it uses less digits than its factorization.

2059948436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62233 (or 62211 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The square root of 2059948436 is about 45386.6548227560. The cubic root of 2059948436 is about 1272.3857104945.

The spelling of 2059948436 in words is "two billion, fifty-nine million, nine hundred forty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 8281 16562 33124 62189 124378 248756 435323 808457 870646 1616914 1741292 3047261 3233828 5659199 6094522 10509941 11318398 12189044 21019882 22636796 39614393 42039764 73569587 79228786 147139174 158457572 294278348 514987109 1029974218 2059948436