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53198976 = 2733141109
BaseRepresentation
bin1100101011110…
…0000010000000
310201002210021110
43022330002000
5102104331401
65140123320
71214120025
oct312740200
9121083243
1053198976
11280361a6
1215996540
13b0384ac
1470cb54c
154a0c9d6
hex32bc080

53198976 has 128 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 16588800.

The previous prime is 53198947. The next prime is 53199011. The reversal of 53198976 is 67989135.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 488010 + ... + 488118.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 253198976 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 53198976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

53198976 is an abundant number, since it is smaller than the sum of its proper divisors (97597824).

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

53198976 is a wasteful number, since it uses less digits than its factorization.

53198976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 53198976 is about 7293.7628148988. The cubic root of 53198976 is about 376.0980580224.

The spelling of 53198976 in words is "fifty-three million, one hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 109 123 124 128 164 186 192 218 246 248 327 328 372 384 436 492 496 654 656 744 872 984 992 1271 1308 1312 1488 1744 1968 1984 2542 2616 2624 2976 3379 3488 3813 3936 3968 4469 5084 5232 5248 5952 6758 6976 7626 7872 8938 10137 10168 10464 11904 13407 13516 13952 15252 15744 17876 20274 20336 20928 26814 27032 30504 35752 40548 40672 41856 53628 54064 61008 71504 81096 81344 107256 108128 122016 138539 143008 162192 162688 214512 216256 244032 277078 286016 324384 415617 429024 432512 488064 554156 572032 648768 831234 858048 1108312 1297536 1662468 1716096 2216624 3324936 4433248 6649872 8866496 13299744 17732992 26599488 53198976