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52920960 = 273543641
BaseRepresentation
bin1100100111100…
…0001010000000
310200120122220120
43021320022000
5102021432320
65130140240
71211551341
oct311701200
9120518816
1052920960
1127966334
1215881680
13ac6baa1
1470580c8
1549a5440
hex3278280

52920960 has 128 divisors (see below), whose sum is σ = 172877760. Its totient is φ = 13762560.

The previous prime is 52920941. The next prime is 52920971. The reversal of 52920960 is 6902925.

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

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, 82240 + ... + 82880.

Almost surely, 252920960 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 52920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86438880).

52920960 is an abundant number, since it is smaller than the sum of its proper divisors (119956800).

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

52920960 is a wasteful number, since it uses less digits than its factorization.

52920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 52920960 is about 7274.6793743780. The cubic root of 52920960 is about 375.4417549580.

The spelling of 52920960 in words is "fifty-two million, nine hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 640 641 645 688 860 960 1032 1282 1290 1376 1720 1920 1923 2064 2564 2580 2752 3205 3440 3846 4128 5128 5160 5504 6410 6880 7692 8256 9615 10256 10320 12820 13760 15384 16512 19230 20512 20640 25640 27520 27563 30768 38460 41024 41280 51280 55126 61536 76920 82048 82560 82689 102560 110252 123072 137815 153840 165378 205120 220504 246144 275630 307680 330756 410240 413445 441008 551260 615360 661512 826890 882016 1102520 1230720 1323024 1653780 1764032 2205040 2646048 3307560 3528064 4410080 5292096 6615120 8820160 10584192 13230240 17640320 26460480 52920960