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46380480 = 263548313
BaseRepresentation
bin1011000011101…
…1010111000000
310020021101001120
42300323113000
543333133410
64334032240
71102141026
oct260732700
9106241046
1046380480
11241a9383
1213648680
1397bba93
146234716
154112570
hex2c3b5c0

46380480 has 56 divisors (see below), whose sum is σ = 147261072. Its totient is φ = 12367872.

The previous prime is 46380479. The next prime is 46380487. The reversal of 46380480 is 8408364.

It is a super-2 number, since 2×463804802 = 4302297850060800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46380487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23197 + ... + 25116.

It is an arithmetic number, because the mean of its divisors is an integer number (2629662).

Almost surely, 246380480 is an apocalyptic number.

46380480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46380480 is an abundant number, since it is smaller than the sum of its proper divisors (100880592).

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

46380480 is a wasteful number, since it uses less digits than its factorization.

46380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48333 (or 48323 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 46380480 is about 6810.3215783104. The cubic root of 46380480 is about 359.2899585039.

The spelling of 46380480 in words is "forty-six million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 48313 96626 144939 193252 241565 289878 386504 483130 579756 724695 773008 966260 1159512 1449390 1546016 1932520 2319024 2898780 3092032 3865040 4638048 5797560 7730080 9276096 11595120 15460160 23190240 46380480