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53002352 = 2413377197
BaseRepresentation
bin1100101000110…
…0000001110000
310200201210120002
43022030001300
5102032033402
65132005132
71212340544
oct312140160
9120653502
1053002352
1127a114a7
12159007a8
13ac99b50
147079a24
1549be602
hex328c070

53002352 has 80 divisors (see below), whose sum is σ = 116367552. Its totient is φ = 23224320.

The previous prime is 53002333. The next prime is 53002357. The reversal of 53002352 is 25320035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53002357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546368 + ... + 546464.

Almost surely, 253002352 is an apocalyptic number.

53002352 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 53002352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58183776).

53002352 is an abundant number, since it is smaller than the sum of its proper divisors (63365200).

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

53002352 is a wasteful number, since it uses less digits than its factorization.

53002352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 53002352 is about 7280.2714235116. The cubic root of 53002352 is about 375.6341318079.

Adding to 53002352 its reverse (25320035), we get a palindrome (78322387).

The spelling of 53002352 in words is "fifty-three million, two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 37 52 71 74 97 104 142 148 194 208 284 296 388 481 568 592 776 923 962 1136 1261 1552 1846 1924 2522 2627 3589 3692 3848 5044 5254 6887 7178 7384 7696 10088 10508 13774 14356 14768 20176 21016 27548 28712 34151 42032 46657 55096 57424 68302 89531 93314 110192 136604 179062 186628 254819 273208 358124 373256 509638 546416 716248 746512 1019276 1432496 2038552 3312647 4077104 6625294 13250588 26501176 53002352