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58620072 = 233737121
BaseRepresentation
bin1101111110011…
…1100010101000
311002022012121210
43133213202220
5110001320242
65452233120
71311156000
oct337474250
9132265553
1058620072
11300a9145
121776b7a0
13c1b5b44
147add000
15522dd9c
hex37e78a8

58620072 has 64 divisors (see below), whose sum is σ = 170928000. Its totient is φ = 16746240.

The previous prime is 58620061. The next prime is 58620103. The reversal of 58620072 is 27002685.

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, 4672 + ... + 11792.

It is an arithmetic number, because the mean of its divisors is an integer number (2670750).

Almost surely, 258620072 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 58620072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85464000).

58620072 is an abundant number, since it is smaller than the sum of its proper divisors (112307928).

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

58620072 is a wasteful number, since it uses less digits than its factorization.

58620072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7151 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 58620072 is about 7656.3745989861. The cubic root of 58620072 is about 388.4622153010.

The spelling of 58620072 in words is "fifty-eight million, six hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 7121 8232 14242 21363 28484 42726 49847 56968 85452 99694 149541 170904 199388 299082 348929 398776 598164 697858 1046787 1196328 1395716 2093574 2442503 2791432 4187148 4885006 7327509 8374296 9770012 14655018 19540024 29310036 58620072