Search a number
-
+
83427708 = 223713194021
BaseRepresentation
bin1001111100100…
…00000101111100
312210222120022010
410332100011330
5132324141313
612140051220
72032060320
oct476200574
9183876263
1083427708
1143102521
1223b33b10
1314390610
14b119980
1574ce4c3
hex4f9017c

83427708 has 96 divisors (see below), whose sum is σ = 252259840. Its totient is φ = 20839680.

The previous prime is 83427703. The next prime is 83427709. The reversal of 83427708 is 80772438.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83427703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18738 + ... + 22758.

Almost surely, 283427708 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 83427708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126129920).

83427708 is an abundant number, since it is smaller than the sum of its proper divisors (168832132).

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

83427708 is a wasteful number, since it uses less digits than its factorization.

83427708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 83427708 is about 9133.8769424599. The cubic root of 83427708 is about 436.9550578927.

The spelling of 83427708 in words is "eighty-three million, four hundred twenty-seven thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2964 3458 4021 5187 6916 8042 10374 12063 16084 20748 24126 28147 48252 52273 56294 76399 84441 104546 112588 152798 156819 168882 209092 229197 305596 313638 337764 365911 458394 534793 627276 731822 916788 993187 1069586 1097733 1463644 1604379 1986374 2139172 2195466 2979561 3208758 3972748 4390932 5959122 6417516 6952309 11918244 13904618 20856927 27809236 41713854 83427708