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61990950 = 23527431373
BaseRepresentation
bin1110110001111…
…0100000100110
311022122110121010
43230132200212
5111332202300
610052403050
71351625430
oct354364046
9138573533
1061990950
1131aa079a
1218916486
13cac6248
148339650
155697a50
hex3b1e826

61990950 has 96 divisors (see below), whose sum is σ = 179917056. Its totient is φ = 13829760.

The previous prime is 61990949. The next prime is 61990961. The reversal of 61990950 is 5909916.

61990950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61990899 and 61990908.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 44464 + ... + 45836.

It is an arithmetic number, because the mean of its divisors is an integer number (1874136).

Almost surely, 261990950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61990950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89958528).

61990950 is an abundant number, since it is smaller than the sum of its proper divisors (117926106).

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

61990950 is a wasteful number, since it uses less digits than its factorization.

61990950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 61990950 is about 7873.4331774646. The cubic root of 61990950 is about 395.7699025476.

The spelling of 61990950 in words is "sixty-one million, nine hundred ninety thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 129 150 175 210 215 258 301 350 430 525 602 645 903 1050 1075 1290 1373 1505 1806 2150 2746 3010 3225 4119 4515 6450 6865 7525 8238 9030 9611 13730 15050 19222 20595 22575 28833 34325 41190 45150 48055 57666 59039 68650 96110 102975 118078 144165 177117 205950 240275 288330 295195 354234 413273 480550 590390 720825 826546 885585 1239819 1441650 1475975 1771170 2066365 2479638 2951950 4132730 4427925 6199095 8855850 10331825 12398190 20663650 30995475 61990950