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52722320 = 2457313037
BaseRepresentation
bin1100100100011…
…1101010010000
310200012120102112
43021013222100
5101444103240
65122004452
71210063250
oct311075220
9120176375
1052722320
1127840072
12157a6728
13abcc551
147005960
154966665
hex3247a90

52722320 has 80 divisors (see below), whose sum is σ = 144657408. Its totient is φ = 17487360.

The previous prime is 52722317. The next prime is 52722323. The reversal of 52722320 is 2322725.

It is an interprime number because it is at equal distance from previous prime (52722317) and next prime (52722323).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (52722323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15842 + ... + 18878.

Almost surely, 252722320 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 52722320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72328704).

52722320 is an abundant number, since it is smaller than the sum of its proper divisors (91935088).

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

52722320 is a wasteful number, since it uses less digits than its factorization.

52722320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 52722320 is about 7261.0137033337. The cubic root of 52722320 is about 374.9714230075.

The spelling of 52722320 in words is "fifty-two million, seven hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3037 3472 4340 6074 8680 12148 15185 17360 21259 24296 30370 42518 48592 60740 85036 94147 106295 121480 170072 188294 212590 242960 340144 376588 425180 470735 659029 753176 850360 941470 1318058 1506352 1700720 1882940 2636116 3295145 3765880 5272232 6590290 7531760 10544464 13180580 26361160 52722320