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53025280 = 295711269
BaseRepresentation
bin1100101001000…
…1101000000000
310200202222000021
43022101220000
5102033302110
65132303224
71212464440
oct312215000
9120688007
1053025280
1127a27750
1215911b14
13aca7409
147084120
1549c62da
hex3291a00

53025280 has 160 divisors (see below), whose sum is σ = 159096960. Its totient is φ = 16465920.

The previous prime is 53025239. The next prime is 53025331. The reversal of 53025280 is 8252035.

It is a tau number, because it is divible by the number of its divisors (160).

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, 196986 + ... + 197254.

It is an arithmetic number, because the mean of its divisors is an integer number (994356).

Almost surely, 253025280 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 53025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

53025280 is an abundant number, since it is smaller than the sum of its proper divisors (106071680).

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

53025280 is a wasteful number, since it uses less digits than its factorization.

53025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 53025280 is about 7281.8459198201. The cubic root of 53025280 is about 375.6882885102.

The spelling of 53025280 in words is "fifty-three million, twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 269 280 308 320 352 385 440 448 512 538 560 616 640 704 770 880 896 1076 1120 1232 1280 1345 1408 1540 1760 1792 1883 2152 2240 2464 2560 2690 2816 2959 3080 3520 3584 3766 4304 4480 4928 5380 5632 5918 6160 7040 7532 8608 8960 9415 9856 10760 11836 12320 14080 14795 15064 17216 17920 18830 19712 20713 21520 23672 24640 28160 29590 30128 34432 37660 39424 41426 43040 47344 49280 59180 60256 68864 75320 82852 86080 94688 98560 103565 118360 120512 137728 150640 165704 172160 189376 197120 207130 236720 241024 301280 331408 344320 378752 414260 473440 482048 602560 662816 688640 757504 828520 946880 964096 1205120 1325632 1515008 1657040 1893760 2410240 2651264 3314080 3787520 4820480 5302528 6628160 7575040 10605056 13256320 26512640 53025280