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46520040 = 2335755381
BaseRepresentation
bin1011000101110…
…1011011101000
310020112110111110
42301131123220
543402120130
64341030320
71103261640
oct261353350
9106473443
1046520040
1124294216
12136b53a0
13983a468
14626d520
15413dab0
hex2c5d6e8

46520040 has 64 divisors (see below), whose sum is σ = 159500160. Its totient is φ = 10632960.

The previous prime is 46520029. The next prime is 46520059. The reversal of 46520040 is 4002564.

It is a happy number.

It is a super-2 number, since 2×465200402 = 4328228243203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 46519989 and 46520016.

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, 26851 + ... + 28530.

It is an arithmetic number, because the mean of its divisors is an integer number (2492190).

Almost surely, 246520040 is an apocalyptic number.

46520040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46520040 is an abundant number, since it is smaller than the sum of its proper divisors (112980120).

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

46520040 is a wasteful number, since it uses less digits than its factorization.

46520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55402 (or 55398 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 46520040 is about 6820.5600943031. The cubic root of 46520040 is about 359.6499684131.

The spelling of 46520040 in words is "forty-six million, five hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 55381 110762 166143 221524 276905 332286 387667 443048 553810 664572 775334 830715 1107620 1163001 1329144 1550668 1661430 1938335 2215240 2326002 3101336 3322860 3876670 4652004 5815005 6645720 7753340 9304008 11630010 15506680 23260020 46520040