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40979190 = 2357261457
BaseRepresentation
bin1001110001010…
…0101011110110
32212002221212210
42130110223312
540442313230
64022154250
71005213600
oct234245366
985087783
1040979190
112114a2aa
1211882986
13864a455
14562a170
1538e6eb0
hex2714af6

40979190 has 96 divisors (see below), whose sum is σ = 116537184. Its totient is φ = 9192960.

The previous prime is 40979189. The next prime is 40979201. The reversal of 40979190 is 9197904.

It is a super-2 number, since 2×409791902 = 3358588026112200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89442 + ... + 89898.

It is an arithmetic number, because the mean of its divisors is an integer number (1213929).

Almost surely, 240979190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40979190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58268592).

40979190 is an abundant number, since it is smaller than the sum of its proper divisors (75557994).

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

40979190 is a wasteful number, since it uses less digits than its factorization.

40979190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 40979190 is about 6401.4990431929. The cubic root of 40979190 is about 344.7633748150.

The spelling of 40979190 in words is "forty million, nine hundred seventy-nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 61 70 98 105 122 147 183 210 245 294 305 366 427 457 490 610 735 854 914 915 1281 1371 1470 1830 2135 2285 2562 2742 2989 3199 4270 4570 5978 6398 6405 6855 8967 9597 12810 13710 14945 15995 17934 19194 22393 27877 29890 31990 44786 44835 47985 55754 67179 83631 89670 95970 111965 134358 139385 167262 195139 223930 278770 335895 390278 418155 585417 671790 836310 975695 1170834 1365973 1951390 2731946 2927085 4097919 5854170 6829865 8195838 13659730 20489595 40979190