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53679348 = 2234292197
BaseRepresentation
bin1100110011000…
…1010011110100
310202000012020000
43030301103310
5102220214343
65154311300
71221160362
oct314612364
9122005200
1053679348
11283340a8
1215b88530
13b176038
1471b4632
154aa4ed3
hex33314f4

53679348 has 90 divisors (see below), whose sum is σ = 146071926. Its totient is φ = 17188416.

The previous prime is 53679331. The next prime is 53679397. The reversal of 53679348 is 84397635.

53679348 is a `hidden beast` number, since 536 + 79 + 3 + 48 = 666.

53679348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 24324624 + 29354724 = 4932^2 + 5418^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 272386 + ... + 272582.

Almost surely, 253679348 is an apocalyptic number.

53679348 is a gapful number since it is divisible by the number (58) 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 53679348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73035963).

53679348 is an abundant number, since it is smaller than the sum of its proper divisors (92392578).

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

53679348 is a wasteful number, since it uses less digits than its factorization.

53679348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 231 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 53679348 is about 7326.6191384567. The cubic root of 53679348 is about 377.2266881239.

The spelling of 53679348 in words is "fifty-three million, six hundred seventy-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 197 261 324 348 394 522 591 783 788 841 1044 1182 1566 1682 1773 2349 2364 2523 3132 3364 3546 4698 5046 5319 5713 7092 7569 9396 10092 10638 11426 15138 15957 17139 21276 22707 22852 30276 31914 34278 45414 51417 63828 68121 68556 90828 102834 136242 154251 165677 205668 272484 308502 331354 462753 497031 617004 662708 925506 994062 1491093 1851012 1988124 2982186 4473279 5964372 8946558 13419837 17893116 26839674 53679348