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73542942 = 23211616089
BaseRepresentation
bin1000110001000…
…10110100011110
312010101100221200
410120202310132
5122311333232
611144140330
71552050624
oct430426436
9163340850
1073542942
11385709a0
12207676a6
131230c345
149aa5514
1566ca77c
hex4622d1e

73542942 has 48 divisors (see below), whose sum is σ = 176707440. Its totient is φ = 21916800.

The previous prime is 73542923. The next prime is 73542949. The reversal of 73542942 is 24924537.

73542942 is a `hidden beast` number, since 73 + 542 + 9 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73542897 and 73542906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73542949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9034 + ... + 15122.

It is an arithmetic number, because the mean of its divisors is an integer number (3681405).

Almost surely, 273542942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73542942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88353720).

73542942 is an abundant number, since it is smaller than the sum of its proper divisors (103164498).

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

73542942 is a wasteful number, since it uses less digits than its factorization.

73542942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6166 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 73542942 is about 8575.7181623465. The cubic root of 73542942 is about 418.9674978538.

It can be divided in two parts, 7354 and 2942, that added together give a triangular number (10296 = T143).

The spelling of 73542942 in words is "seventy-three million, five hundred forty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 6089 12078 12178 18267 36534 54801 66979 109602 133958 200937 371429 401874 602811 742858 1114287 1205622 2228574 3342861 4085719 6685722 8171438 12257157 24514314 36771471 73542942