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46739420 = 22571361421
BaseRepresentation
bin1011001001001…
…0111111011100
310020221121102122
42302102333130
543431130140
64345442112
71105164350
oct262227734
9106847378
1046739420
1124424022
12137a0338
1398b6280
1462c9460
154183ab5
hex2c92fdc

46739420 has 96 divisors (see below), whose sum is σ = 123075456. Its totient is φ = 14515200.

The previous prime is 46739393. The next prime is 46739423. The reversal of 46739420 is 2493764.

46739420 = 25812 + 25822 + ... + 25872.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46739423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110810 + ... + 111230.

It is an arithmetic number, because the mean of its divisors is an integer number (1282036).

Almost surely, 246739420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46739420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61537728).

46739420 is an abundant number, since it is smaller than the sum of its proper divisors (76336036).

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

46739420 is a wasteful number, since it uses less digits than its factorization.

46739420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 46739420 is about 6836.6234355857. The cubic root of 46739420 is about 360.2144298651.

The spelling of 46739420 in words is "forty-six million, seven hundred thirty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 61 65 70 91 122 130 140 182 244 260 305 364 421 427 455 610 793 842 854 910 1220 1586 1684 1708 1820 2105 2135 2947 3172 3965 4210 4270 5473 5551 5894 7930 8420 8540 10946 11102 11788 14735 15860 21892 22204 25681 27365 27755 29470 38311 51362 54730 55510 58940 76622 102724 109460 111020 128405 153244 179767 191555 256810 333853 359534 383110 513620 667706 719068 766220 898835 1335412 1669265 1797670 2336971 3338530 3595340 4673942 6677060 9347884 11684855 23369710 46739420