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53200992 = 2531347907
BaseRepresentation
bin1100101011110…
…0100001100000
310201002220001010
43022330201200
5102104412432
65140140520
71214125635
oct312744140
9121086033
1053200992
1128037769
1215997740
13b0393a0
1470cc18c
154a0d3cc
hex32bc860

53200992 has 96 divisors (see below), whose sum is σ = 153764352. Its totient is φ = 16003584.

The previous prime is 53200963. The next prime is 53200997. The reversal of 53200992 is 29900235.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53200997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58203 + ... + 59109.

It is an arithmetic number, because the mean of its divisors is an integer number (1601712).

Almost surely, 253200992 is an apocalyptic number.

53200992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53200992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76882176).

53200992 is an abundant number, since it is smaller than the sum of its proper divisors (100563360).

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

53200992 is a wasteful number, since it uses less digits than its factorization.

53200992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 53200992 is about 7293.9010138608. The cubic root of 53200992 is about 376.1028087661.

The spelling of 53200992 in words is "fifty-three million, two hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 907 1128 1222 1248 1504 1814 1833 2256 2444 2721 3628 3666 4512 4888 5442 7256 7332 9776 10884 11791 14512 14664 19552 21768 23582 29024 29328 35373 42629 43536 47164 58656 70746 85258 87072 94328 127887 141492 170516 188656 255774 282984 341032 377312 511548 554177 565968 682064 1023096 1108354 1131936 1364128 1662531 2046192 2216708 3325062 4092384 4433416 6650124 8866832 13300248 17733664 26600496 53200992