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52198080 = 2635114943
BaseRepresentation
bin1100011100011…
…1101011000000
310122012221022020
43013013223000
5101330314310
65102441440
71202450664
oct307075300
9118187266
1052198080
1127512210
1215593280
13aa77a4c
146d0a8a4
1548b1170
hex31c7ac0

52198080 has 112 divisors (see below), whose sum is σ = 180831744. Its totient is φ = 12651520.

The previous prime is 52198061. The next prime is 52198099. The reversal of 52198080 is 8089125.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52198061) and next prime (52198099).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 8089 + ... + 13031.

Almost surely, 252198080 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 52198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90415872).

52198080 is an abundant number, since it is smaller than the sum of its proper divisors (128633664).

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

52198080 is a wasteful number, since it uses less digits than its factorization.

52198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 52198080 is about 7224.8238732858. The cubic root of 52198080 is about 373.7244483898.

The spelling of 52198080 in words is "fifty-two million, one hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 4943 5280 9886 10560 14829 19772 24715 29658 39544 49430 54373 59316 74145 79088 98860 108746 118632 148290 158176 163119 197720 217492 237264 271865 296580 316352 326238 395440 434984 474528 543730 593160 652476 790880 815595 869968 949056 1087460 1186320 1304952 1581760 1631190 1739936 2174920 2372640 2609904 3262380 3479872 4349840 4745280 5219808 6524760 8699680 10439616 13049520 17399360 26099040 52198080