Search a number
-
+
70092828 = 223213149771
BaseRepresentation
bin1000010110110…
…00100000011100
311212220002021200
410023120200130
5120420432303
610542155500
71510531161
oct413304034
9155802250
1070092828
1136624863
121b582b90
13116a1b60
149448068
1562483a3
hex42d881c

70092828 has 36 divisors (see below), whose sum is σ = 190809528. Its totient is φ = 21566880.

The previous prime is 70092817. The next prime is 70092877. The reversal of 70092828 is 82829007.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×700928283 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 70092792 and 70092801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74418 + ... + 75353.

Almost surely, 270092828 is an apocalyptic number.

70092828 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

70092828 is an abundant number, since it is smaller than the sum of its proper divisors (120716700).

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

70092828 is a wasteful number, since it uses less digits than its factorization.

70092828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149794 (or 149789 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 70092828 is about 8372.1459614605. The cubic root of 70092828 is about 412.3106260216.

It can be divided in two parts, 700 and 92828, that added together give a triangular number (93528 = T432).

The spelling of 70092828 in words is "seventy million, ninety-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 149771 299542 449313 599084 898626 1347939 1797252 1947023 2695878 3894046 5391756 5841069 7788092 11682138 17523207 23364276 35046414 70092828