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52777120 = 25511157191
BaseRepresentation
bin1100100101010…
…1000010100000
310200022100121011
43021111002200
5102002331440
65123110304
71210412104
oct311250240
9120270534
1052777120
1127878260
1215812394
13ac1b486
14701b904
1549779ea
hex32550a0

52777120 has 96 divisors (see below), whose sum is σ = 137604096. Its totient is φ = 18969600.

The previous prime is 52777103. The next prime is 52777171. The reversal of 52777120 is 2177725.

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, 276225 + ... + 276415.

It is an arithmetic number, because the mean of its divisors is an integer number (1433376).

Almost surely, 252777120 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 52777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68802048).

52777120 is an abundant number, since it is smaller than the sum of its proper divisors (84826976).

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

52777120 is a wasteful number, since it uses less digits than its factorization.

52777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 52777120 is about 7264.7863010552. The cubic root of 52777120 is about 375.1012941177.

The spelling of 52777120 in words is "fifty-two million, seven hundred seventy-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 157 160 176 191 220 314 352 382 440 628 764 785 880 955 1256 1528 1570 1727 1760 1910 2101 2512 3056 3140 3454 3820 4202 5024 6112 6280 6908 7640 8404 8635 10505 12560 13816 15280 16808 17270 21010 25120 27632 29987 30560 33616 34540 42020 55264 59974 67232 69080 84040 119948 138160 149935 168080 239896 276320 299870 329857 336160 479792 599740 659714 959584 1199480 1319428 1649285 2398960 2638856 3298570 4797920 5277712 6597140 10555424 13194280 26388560 52777120