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53001216 = 2103671
BaseRepresentation
bin1100101000101…
…1110000000000
310200201202000000
43022023300000
5102032014331
65132000000
71212334332
oct312136000
9120652000
1053001216
1127a10664
1215900000
13ac99488
147079452
1549be0e6
hex328bc00

53001216 has 154 divisors (see below), whose sum is σ = 161090712. Its totient is φ = 17418240.

The previous prime is 53001211. The next prime is 53001239. The reversal of 53001216 is 61210035.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53001211) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746461 + ... + 746531.

Almost surely, 253001216 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 53001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80545356).

53001216 is an abundant number, since it is smaller than the sum of its proper divisors (108089496).

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

53001216 is an frugal number, since it uses more digits than its factorization.

53001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 53001216 is about 7280.1934040244. The cubic root of 53001216 is about 375.6314481319.

The spelling of 53001216 in words is "fifty-three million, one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 128 142 144 162 192 213 216 243 256 284 288 324 384 426 432 486 512 568 576 639 648 729 768 852 864 972 1024 1136 1152 1278 1296 1458 1536 1704 1728 1917 1944 2272 2304 2556 2592 2916 3072 3408 3456 3834 3888 4544 4608 5112 5184 5751 5832 6816 6912 7668 7776 9088 9216 10224 10368 11502 11664 13632 13824 15336 15552 17253 18176 20448 20736 23004 23328 27264 27648 30672 31104 34506 36352 40896 41472 46008 46656 51759 54528 61344 62208 69012 72704 81792 82944 92016 93312 103518 109056 122688 124416 138024 163584 184032 186624 207036 218112 245376 248832 276048 327168 368064 373248 414072 490752 552096 654336 736128 746496 828144 981504 1104192 1472256 1656288 1963008 2208384 2944512 3312576 4416768 5889024 6625152 8833536 13250304 17667072 26500608 53001216