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93333042 = 232113171487
BaseRepresentation
bin1011001000000…
…10011000110010
320111121210212100
411210002120302
5142343124132
613132241230
72212213665
oct544023062
9214553770
1093333042
1148758550
1227310216
131644b06a
14c5776dc
1582d937c
hex5902632

93333042 has 48 divisors (see below), whose sum is σ = 221450112. Its totient is φ = 28174560.

The previous prime is 93333041. The next prime is 93333061. The reversal of 93333042 is 24033339.

It is a super-2 number, since 2×933330422 = 17422113457947528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93332997 and 93333015.

It is not an unprimeable number, because it can be changed into a prime (93333041) 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, 62023 + ... + 63509.

It is an arithmetic number, because the mean of its divisors is an integer number (4613544).

Almost surely, 293333042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93333042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110725056).

93333042 is an abundant number, since it is smaller than the sum of its proper divisors (128117070).

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

93333042 is a wasteful number, since it uses less digits than its factorization.

93333042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 93333042 is about 9660.9027528487. The cubic root of 93333042 is about 453.6056690967.

The spelling of 93333042 in words is "ninety-three million, three hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 317 634 951 1487 1902 2853 2974 3487 4461 5706 6974 8922 10461 13383 16357 20922 26766 31383 32714 49071 62766 98142 147213 294426 471379 942758 1414137 2828274 4242411 5185169 8484822 10370338 15555507 31111014 46666521 93333042