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53198480 = 24519311129
BaseRepresentation
bin1100101011101…
…1111010010000
310201002202121002
43022323322100
5102104322410
65140121132
71214115416
oct312737220
9121082532
1053198480
1128035895
12159961a8
13b0381ba
1470cb2b6
154a0c7a5
hex32bbe90

53198480 has 80 divisors (see below), whose sum is σ = 134515200. Its totient is φ = 19491840.

The previous prime is 53198447. The next prime is 53198503. The reversal of 53198480 is 8489135.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 46556 + ... + 47684.

It is an arithmetic number, because the mean of its divisors is an integer number (1681440).

Almost surely, 253198480 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 53198480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67257600).

53198480 is an abundant number, since it is smaller than the sum of its proper divisors (81316720).

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

53198480 is a wasteful number, since it uses less digits than its factorization.

53198480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 53198480 is about 7293.7288131655. The cubic root of 53198480 is about 376.0968891702.

The spelling of 53198480 in words is "fifty-three million, one hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1129 1178 1240 1520 2258 2356 2480 2945 4516 4712 5645 5890 9032 9424 11290 11780 18064 21451 22580 23560 34999 42902 45160 47120 69998 85804 90320 107255 139996 171608 174995 214510 279992 343216 349990 429020 559984 664981 699980 858040 1329962 1399960 1716080 2659924 2799920 3324905 5319848 6649810 10639696 13299620 26599240 53198480