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52920320 = 21551719
BaseRepresentation
bin1100100111100…
…0000000000000
310200120122000212
43021320000000
5102021422240
65130133252
71211546435
oct311700000
9120518025
1052920320
1127965902
1215881228
13ac6b6cb
147057b8c
1549a5165
hex3278000

52920320 has 128 divisors (see below), whose sum is σ = 141555600. Its totient is φ = 18874368.

The previous prime is 52920313. The next prime is 52920349. The reversal of 52920320 is 2302925.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2785271 + ... + 2785289.

Almost surely, 252920320 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 52920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70777800).

52920320 is an abundant number, since it is smaller than the sum of its proper divisors (88635280).

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

52920320 is an equidigital number, since it uses as much as digits as its factorization.

52920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 52920320 is about 7274.6353860520. The cubic root of 52920320 is about 375.4402414828.

The spelling of 52920320 in words is "fifty-two million, nine hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 256 272 304 320 323 340 380 512 544 608 640 646 680 760 1024 1088 1216 1280 1292 1360 1520 1615 2048 2176 2432 2560 2584 2720 3040 3230 4096 4352 4864 5120 5168 5440 6080 6460 8192 8704 9728 10240 10336 10880 12160 12920 16384 17408 19456 20480 20672 21760 24320 25840 32768 34816 38912 40960 41344 43520 48640 51680 69632 77824 81920 82688 87040 97280 103360 139264 155648 163840 165376 174080 194560 206720 278528 311296 330752 348160 389120 413440 557056 622592 661504 696320 778240 826880 1323008 1392640 1556480 1653760 2646016 2785280 3112960 3307520 5292032 6615040 10584064 13230080 26460160 52920320