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80052354 = 23317293197
BaseRepresentation
bin1001100010110…
…00000010000010
312120122002012000
410301120002002
5130443133404
611535444430
71661301534
oct461300202
9176562160
1080052354
1141207578
1222986716
131377b175
14a8bb854
157064339
hex4c58082

80052354 has 128 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 23224320.

The previous prime is 80052353. The next prime is 80052361. The reversal of 80052354 is 45325008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80052353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 825234 + ... + 825330.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 280052354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80052354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

80052354 is an abundant number, since it is smaller than the sum of its proper divisors (123160446).

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

80052354 is a wasteful number, since it uses less digits than its factorization.

80052354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 80052354 is about 8947.1981089054. The cubic root of 80052354 is about 430.9809119045.

The spelling of 80052354 in words is "eighty million, fifty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 29 31 34 51 54 58 62 87 93 97 102 153 174 186 194 261 279 291 306 459 493 522 527 558 582 783 837 873 899 918 986 1054 1479 1566 1581 1649 1674 1746 1798 2619 2697 2813 2958 3007 3162 3298 4437 4743 4947 5238 5394 5626 6014 8091 8439 8874 9021 9486 9894 13311 14229 14841 15283 16182 16878 18042 24273 25317 26622 27063 28458 29682 30566 44523 45849 47821 48546 50634 51119 54126 75951 81189 87203 89046 91698 95642 102238 137547 143463 151902 153357 162378 174406 261609 275094 286926 306714 412641 430389 460071 523218 784827 825282 860778 920142 1291167 1380213 1482451 1569654 2354481 2582334 2760426 2964902 4447353 4708962 8894706 13342059 26684118 40026177 80052354