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46220240 = 2451153991
BaseRepresentation
bin1011000001010…
…0001111010000
310012222020020202
42300110033100
543313021430
64330354332
71100602613
oct260241720
9105866222
1046220240
11240a9a50
121358b9a8
139763b71
1461d217a
1540ced45
hex2c143d0

46220240 has 80 divisors (see below), whose sum is σ = 119563776. Its totient is φ = 16473600.

The previous prime is 46220233. The next prime is 46220261. The reversal of 46220240 is 4202264.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 46145 + ... + 47135.

Almost surely, 246220240 is an apocalyptic number.

46220240 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 46220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59781888).

46220240 is an abundant number, since it is smaller than the sum of its proper divisors (73343536).

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

46220240 is a wasteful number, since it uses less digits than its factorization.

46220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 46220240 is about 6798.5469035670. The cubic root of 46220240 is about 358.8757105769.

It can be divided in two parts, 462 and 20240, that added together give a palindrome (20702).

The spelling of 46220240 in words is "forty-six million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 848 880 991 1060 1166 1982 2120 2332 2915 3964 4240 4664 4955 5830 7928 9328 9910 10901 11660 15856 19820 21802 23320 39640 43604 46640 52523 54505 79280 87208 105046 109010 174416 210092 218020 262615 420184 436040 525230 577753 840368 872080 1050460 1155506 2100920 2311012 2888765 4201840 4622024 5777530 9244048 11555060 23110120 46220240