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53409642 = 23112135659
BaseRepresentation
bin1100101110111…
…1011101101010
310201111111020220
43023233131222
5102133102032
65144430510
71215655146
oct313573552
9121444226
1053409642
112816a500
1215a78436
13b0b0350
147144226
154a5012c
hex32ef76a

53409642 has 48 divisors (see below), whose sum is σ = 126467040. Its totient is φ = 14937120.

The previous prime is 53409641. The next prime is 53409649. The reversal of 53409642 is 24690435.

It is a super-5 number, since 5×534096425 (a number of 40 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (53409641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6609 + ... + 12267.

It is an arithmetic number, because the mean of its divisors is an integer number (2634730).

Almost surely, 253409642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53409642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63233520).

53409642 is an abundant number, since it is smaller than the sum of its proper divisors (73057398).

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

53409642 is a wasteful number, since it uses less digits than its factorization.

53409642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 53409642 is about 7308.1900632099. The cubic root of 53409642 is about 376.5938490123.

The spelling of 53409642 in words is "fifty-three million, four hundred nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 3146 4719 5659 9438 11318 16977 33954 62249 73567 124498 147134 186747 220701 373494 441402 684739 809237 1369478 1618474 2054217 2427711 4108434 4855422 8901607 17803214 26704821 53409642