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46780380 = 22325293887
BaseRepresentation
bin1011001001110…
…0111111011100
310021000200121200
42302130333130
543433433010
64350355500
71105424643
oct262347734
9107020550
1046780380
1124451879
12137bbb90
1398cbaca
1462da35a
154190cc0
hex2c9cfdc

46780380 has 72 divisors (see below), whose sum is σ = 142545312. Its totient is φ = 12418176.

The previous prime is 46780373. The next prime is 46780381. The reversal of 46780380 is 8308764.

46780380 = T69 + T70 + ... + T654.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46780381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52297 + ... + 53183.

It is an arithmetic number, because the mean of its divisors is an integer number (1979796).

Almost surely, 246780380 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 46780380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71272656).

46780380 is an abundant number, since it is smaller than the sum of its proper divisors (95764932).

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

46780380 is a wasteful number, since it uses less digits than its factorization.

46780380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 46780380 is about 6839.6184104086. The cubic root of 46780380 is about 360.3196235478.

The spelling of 46780380 in words is "forty-six million, seven hundred eighty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 586 879 887 1172 1465 1758 1774 2637 2661 2930 3516 3548 4395 4435 5274 5322 5860 7983 8790 8870 10548 10644 13185 13305 15966 17580 17740 26370 26610 31932 39915 52740 53220 79830 159660 259891 519782 779673 1039564 1299455 1559346 2339019 2598910 3118692 3898365 4678038 5197820 7796730 9356076 11695095 15593460 23390190 46780380