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5204952960 = 27354757679
BaseRepresentation
bin1001101100011110…
…10100011110000000
3111102202001000011120
410312033110132000
541124431443320
62220252112240
7242661240654
oct46617243600
914382030146
105204952960
112231073219
121013165680
1364c45b42c
143753b2a64
15206e3d440
hex1363d4780

5204952960 has 128 divisors (see below), whose sum is σ = 16944076800. Its totient is φ = 1358432256.

The previous prime is 5204952959. The next prime is 5204952971. The reversal of 5204952960 is 692594025.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61401 + ... + 119079.

It is an arithmetic number, because the mean of its divisors is an integer number (132375600).

Almost surely, 25204952960 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 5204952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472038400).

5204952960 is an abundant number, since it is smaller than the sum of its proper divisors (11739123840).

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

5204952960 is a wasteful number, since it uses less digits than its factorization.

5204952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57748 (or 57736 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5204952960 is about 72145.3599339556. The cubic root of 5204952960 is about 1733.0280935220.

The spelling of 5204952960 in words is "five billion, two hundred four million, nine hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1410 1504 1880 1920 2256 2820 3008 3760 4512 5640 6016 7520 9024 11280 15040 18048 22560 30080 45120 57679 90240 115358 173037 230716 288395 346074 461432 576790 692148 865185 922864 1153580 1384296 1730370 1845728 2307160 2710913 2768592 3460740 3691456 4614320 5421826 5537184 6921480 7382912 8132739 9228640 10843652 11074368 13554565 13842960 16265478 18457280 21687304 22148736 27109130 27685920 32530956 36914560 40663695 43374608 54218260 55371840 65061912 81327390 86749216 108436520 110743680 130123824 162654780 173498432 216873040 260247648 325309560 346996864 433746080 520495296 650619120 867492160 1040990592 1301238240 1734984320 2602476480 5204952960