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53962048 = 267235237
BaseRepresentation
bin1100110111011…
…0010101000000
310202112120000101
43031312111000
5102303241143
65204332144
71223445520
oct315662500
9122476011
1053962048
1128507538
12160a4054
13b24490a
147249680
154b0db4d
hex3376540

53962048 has 56 divisors (see below), whose sum is σ = 127723392. Its totient is φ = 22116864.

The previous prime is 53961997. The next prime is 53962061. The reversal of 53962048 is 84026935.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 53961998 and 53962016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7686 + ... + 12922.

Almost surely, 253962048 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 53962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63861696).

53962048 is an abundant number, since it is smaller than the sum of its proper divisors (73761344).

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

53962048 is a wasteful number, since it uses less digits than its factorization.

53962048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 53962048 is about 7345.8864679493. The cubic root of 53962048 is about 377.8877450979.

The spelling of 53962048 in words is "fifty-three million, nine hundred sixty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 5237 10304 10474 20948 36659 41896 73318 83792 120451 146636 167584 240902 293272 335168 481804 586544 843157 963608 1173088 1686314 1927216 2346176 3372628 3854432 6745256 7708864 13490512 26981024 53962048