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46348980 = 223519109373
BaseRepresentation
bin1011000011001…
…1101010110100
310020012202211220
42300303222310
543331131410
64333230340
71101650136
oct260635264
9106182756
1046348980
1124187747
12136323b0
1397aa642
146227056
154108070
hex2c33ab4

46348980 has 96 divisors (see below), whose sum is σ = 138230400. Its totient is φ = 11570688.

The previous prime is 46348957. The next prime is 46348993. The reversal of 46348980 is 8984364.

46348980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 124074 + ... + 124446.

It is an arithmetic number, because the mean of its divisors is an integer number (1439900).

Almost surely, 246348980 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 46348980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69115200).

46348980 is an abundant number, since it is smaller than the sum of its proper divisors (91881420).

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

46348980 is a wasteful number, since it uses less digits than its factorization.

46348980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 46348980 is about 6808.0085193836. The cubic root of 46348980 is about 359.2086010245.

The spelling of 46348980 in words is "forty-six million, three hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 109 114 190 218 228 285 327 373 380 436 545 570 654 746 1090 1119 1140 1308 1492 1635 1865 2071 2180 2238 3270 3730 4142 4476 5595 6213 6540 7087 7460 8284 10355 11190 12426 14174 20710 21261 22380 24852 28348 31065 35435 40657 41420 42522 62130 70870 81314 85044 106305 121971 124260 141740 162628 203285 212610 243942 406570 425220 487884 609855 772483 813140 1219710 1544966 2317449 2439420 3089932 3862415 4634898 7724830 9269796 11587245 15449660 23174490 46348980