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352949142 = 237133717471
BaseRepresentation
bin10101000010011…
…001001110010110
3220121010200012110
4111002121032112
51210323333032
655004531450
711514006150
oct2502311626
9817120173
10352949142
11171259a07
129a250b86
1358179660
1434c37ad0
1520ebc7cc
hex15099396

352949142 has 64 divisors (see below), whose sum is σ = 892329984. Its totient is φ = 90564480.

The previous prime is 352949131. The next prime is 352949143. The reversal of 352949142 is 241949253.

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

It is a self number, because there is not a number n which added to its sum of digits gives 352949142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352949143) 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, 11467 + ... + 28937.

It is an arithmetic number, because the mean of its divisors is an integer number (13942656).

Almost surely, 2352949142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352949142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446164992).

352949142 is an abundant number, since it is smaller than the sum of its proper divisors (539380842).

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

352949142 is a wasteful number, since it uses less digits than its factorization.

352949142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17533.

The product of its digits is 77760, while the sum is 39.

The square root of 352949142 is about 18786.9407301987. The cubic root of 352949142 is about 706.7037190829.

The spelling of 352949142 in words is "three hundred fifty-two million, nine hundred forty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 10101 17471 20202 34942 52413 104826 122297 227123 244594 366891 454246 646427 681369 733782 1292854 1362738 1589861 1939281 3179722 3878562 4524989 4769583 8403551 9049978 9539166 13574967 16807102 25210653 27149934 50421306 58824857 117649714 176474571 352949142