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1979538064 = 24742272
BaseRepresentation
bin111010111111101…
…0101101010010000
312002221211221201121
41311333111222100
513023230204224
6524232212024
7100024540000
oct16577255220
95087757647
101979538064
11926441279
12472b3a014
132571618ca
1414ac90000
15b8bbebe4
hex75fd5a90

1979538064 has 75 divisors (see below), whose sum is σ = 4494112067. Its totient is φ = 844636128.

The previous prime is 1979538061. The next prime is 1979538101. The reversal of 1979538064 is 4608359791.

It is a happy number.

The square root of 1979538064 is 44492.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1979538061) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8720319 + ... + 8720545.

Almost surely, 21979538064 is an apocalyptic number.

1979538064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1979538064 is the 44492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1979538064

1979538064 is an abundant number, since it is smaller than the sum of its proper divisors (2514574003).

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

1979538064 is an frugal number, since it uses more digits than its factorization.

1979538064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The cubic root of 1979538064 is about 1255.6095754599.

The spelling of 1979538064 in words is "one billion, nine hundred seventy-nine million, five hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 227 343 392 454 686 784 908 1372 1589 1816 2401 2744 3178 3632 4802 5488 6356 9604 11123 12712 19208 22246 25424 38416 44492 51529 77861 88984 103058 155722 177968 206116 311444 360703 412232 545027 622888 721406 824464 1090054 1245776 1442812 2180108 2524921 2885624 4360216 5049842 5771248 8720432 10099684 17674447 20199368 35348894 40398736 70697788 123721129 141395576 247442258 282791152 494884516 989769032 1979538064