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35069742 = 23217313697
BaseRepresentation
bin1000010111000…
…1111100101110
32102222201122100
42011301330232
532434212432
63251355530
7604042101
oct205617456
972881570
1035069742
1118883464
12b8b2ba6
13735b736
14492c738
15312b07c
hex2171f2e

35069742 has 48 divisors (see below), whose sum is σ = 83071872. Its totient is φ = 10644480.

The previous prime is 35069737. The next prime is 35069761. The reversal of 35069742 is 24796053.

It is a junction number, because it is equal to n+sod(n) for n = 35069697 and 35069706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7638 + ... + 11334.

It is an arithmetic number, because the mean of its divisors is an integer number (1730664).

Almost surely, 235069742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35069742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41535936).

35069742 is an abundant number, since it is smaller than the sum of its proper divisors (48002130).

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

35069742 is a wasteful number, since it uses less digits than its factorization.

35069742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 35069742 is about 5921.9711245497. The cubic root of 35069742 is about 327.3237542070.

The spelling of 35069742 in words is "thirty-five million, sixty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 3697 4743 7394 9486 11091 22182 33273 62849 66546 114607 125698 188547 229214 343821 377094 565641 687642 1031463 1131282 1948319 2062926 3896638 5844957 11689914 17534871 35069742