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53742096 = 2433314013
BaseRepresentation
bin1100110100000…
…0101000010000
310202010101022000
43031000220100
5102224221341
65155514000
71221541332
oct315005020
9122111260
1053742096
1128377261
1215bb8900
13b198775
1471cd452
154ab88b6
hex3340a10

53742096 has 80 divisors (see below), whose sum is σ = 159275520. Its totient is φ = 17331840.

The previous prime is 53742079. The next prime is 53742113. The reversal of 53742096 is 69024735.

It is an interprime number because it is at equal distance from previous prime (53742079) and next prime (53742113).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53742096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11386 + ... + 15398.

It is an arithmetic number, because the mean of its divisors is an integer number (1990944).

Almost surely, 253742096 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 53742096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79637760).

53742096 is an abundant number, since it is smaller than the sum of its proper divisors (105533424).

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

53742096 is a wasteful number, since it uses less digits than its factorization.

53742096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 53742096 is about 7330.9000811633. The cubic root of 53742096 is about 377.3736161577.

The spelling of 53742096 in words is "fifty-three million, seven hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4013 4464 6696 8026 12039 13392 16052 24078 32104 36117 48156 64208 72234 96312 108351 124403 144468 192624 216702 248806 288936 373209 433404 497612 577872 746418 866808 995224 1119627 1492836 1733616 1990448 2239254 2985672 3358881 4478508 5971344 6717762 8957016 13435524 17914032 26871048 53742096