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53679888 = 2433137907
BaseRepresentation
bin1100110011000…
…1011100010000
310202000012222000
43030301130100
5102220224023
65154314000
71221162063
oct314613420
9122005860
1053679888
1128334549
1215b88900
13b176362
1471b48da
154aa5243
hex3331710

53679888 has 80 divisors (see below), whose sum is σ = 155376960. Its totient is φ = 17743104.

The previous prime is 53679887. The next prime is 53679917. The reversal of 53679888 is 88897635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53679881) 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, 58731 + ... + 59637.

It is an arithmetic number, because the mean of its divisors is an integer number (1942212).

Almost surely, 253679888 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 53679888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77688480).

53679888 is an abundant number, since it is smaller than the sum of its proper divisors (101697072).

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

53679888 is a wasteful number, since it uses less digits than its factorization.

53679888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1049 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 53679888 is about 7326.6559902864. The cubic root of 53679888 is about 377.2279530531.

The spelling of 53679888 in words is "fifty-three million, six hundred seventy-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 411 432 548 822 907 1096 1233 1644 1814 2192 2466 2721 3288 3628 3699 4932 5442 6576 7256 7398 8163 9864 10884 14512 14796 16326 19728 21768 24489 29592 32652 43536 48978 59184 65304 97956 124259 130608 195912 248518 372777 391824 497036 745554 994072 1118331 1491108 1988144 2236662 2982216 3354993 4473324 5964432 6709986 8946648 13419972 17893296 26839944 53679888