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4932020080 = 2451337671913
BaseRepresentation
bin1001001011111100…
…01010011101110000
3110201201110120122101
410211332022131300
540100044120310
62133222150144
7233135323201
oct44576123560
913651416571
104932020080
112100aa6759
12b57882354
13607a496a0
1434b0475a8
151dcec943a
hex125f8a770

4932020080 has 160 divisors (see below), whose sum is σ = 12878800704. Its totient is φ = 1744478208.

The previous prime is 4932020039. The next prime is 4932020081. The reversal of 4932020080 is 800202394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932020081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2577204 + ... + 2579116.

Almost surely, 24932020080 is an apocalyptic number.

4932020080 is a gapful number since it is divisible by the number (40) 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 4932020080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439400352).

4932020080 is an abundant number, since it is smaller than the sum of its proper divisors (7946780624).

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

4932020080 is a wasteful number, since it uses less digits than its factorization.

4932020080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4932020080 is about 70228.3424266870. The cubic root of 4932020080 is about 1702.1909559417.

The spelling of 4932020080 in words is "four billion, nine hundred thirty-two million, twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 67 74 80 104 130 134 148 185 208 260 268 296 335 370 481 520 536 592 670 740 871 962 1040 1072 1340 1480 1742 1913 1924 2405 2479 2680 2960 3484 3826 3848 4355 4810 4958 5360 6968 7652 7696 8710 9565 9620 9916 12395 13936 15304 17420 19130 19240 19832 24790 24869 30608 32227 34840 38260 38480 39664 49580 49738 64454 69680 70781 76520 99160 99476 124345 128171 128908 141562 153040 161135 198320 198952 248690 256342 257816 283124 322270 353905 397904 497380 512684 515632 566248 640855 644540 707810 920153 994760 1025368 1132496 1281710 1289080 1415620 1666223 1840306 1989520 2050736 2563420 2578160 2831240 3332446 3680612 4600765 4742327 5126840 5662480 6664892 7361224 8331115 9201530 9484654 10253680 13329784 14722448 16662230 18403060 18969308 23711635 26659568 33324460 36806120 37938616 47423270 61650251 66648920 73612240 75877232 94846540 123300502 133297840 189693080 246601004 308251255 379386160 493202008 616502510 986404016 1233005020 2466010040 4932020080