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46480040 = 23517292357
BaseRepresentation
bin1011000101001…
…1101010101000
310020110102121222
42301103222220
543344330130
64340121212
71103034215
oct261235250
9106412558
1046480040
1124267162
1213696208
1398251a9
14625cb0c
154131ce5
hex2c53aa8

46480040 has 64 divisors (see below), whose sum is σ = 114598800. Its totient is φ = 16887808.

The previous prime is 46480037. The next prime is 46480073. The reversal of 46480040 is 4008464.

It can be written as a sum of positive squares in 8 ways, for example, as 19377604 + 27102436 = 4402^2 + 5206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46479991 and 46480009.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18542 + ... + 20898.

Almost surely, 246480040 is an apocalyptic number.

46480040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57299400).

46480040 is an abundant number, since it is smaller than the sum of its proper divisors (68118760).

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

46480040 is a wasteful number, since it uses less digits than its factorization.

46480040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 46480040 is about 6817.6271531963. The cubic root of 46480040 is about 359.5468578400.

The spelling of 46480040 in words is "forty-six million, four hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2357 2465 3944 4714 4930 9428 9860 11785 18856 19720 23570 40069 47140 68353 80138 94280 136706 160276 200345 273412 320552 341765 400690 546824 683530 801380 1162001 1367060 1602760 2324002 2734120 4648004 5810005 9296008 11620010 23240020 46480040