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53035008 = 21431383
BaseRepresentation
bin1100101001010…
…0000000000000
310200210110100120
43022110000000
5102034110013
65132420240
71212535005
oct312240000
9120713316
1053035008
1127a33a94
1215917680
13acab980
1470878ac
1549c9123
hex3294000

53035008 has 120 divisors (see below), whose sum is σ = 154135968. Its totient is φ = 16121856.

The previous prime is 53035007. The next prime is 53035013. The reversal of 53035008 is 80053035.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53035001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638935 + ... + 639017.

Almost surely, 253035008 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 53035008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77067984).

53035008 is an abundant number, since it is smaller than the sum of its proper divisors (101100960).

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

53035008 is an equidigital number, since it uses as much as digits as its factorization.

53035008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 53035008 is about 7282.5138516861. The cubic root of 53035008 is about 375.7112616543.

The spelling of 53035008 in words is "fifty-three million, thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 332 384 416 498 512 624 664 768 832 996 1024 1079 1248 1328 1536 1664 1992 2048 2158 2496 2656 3072 3237 3328 3984 4096 4316 4992 5312 6144 6474 6656 7968 8192 8632 9984 10624 12288 12948 13312 15936 16384 17264 19968 21248 24576 25896 26624 31872 34528 39936 42496 49152 51792 53248 63744 69056 79872 84992 103584 106496 127488 138112 159744 169984 207168 212992 254976 276224 319488 339968 414336 509952 552448 638976 679936 828672 1019904 1104896 1359872 1657344 2039808 2209792 3314688 4079616 4419584 6629376 8839168 13258752 17678336 26517504 53035008