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46420000 = 255411211
BaseRepresentation
bin1011000100010…
…1000000100000
310020100101021021
42301011000200
543340420000
64334535224
71102364164
oct261050040
9106311237
1046420000
1124226040
1213667514
139803a73
146244ca4
15411e11a
hex2c45020

46420000 has 120 divisors (see below), whose sum is σ = 125172432. Its totient is φ = 16800000.

The previous prime is 46419977. The next prime is 46420001. The reversal of 46420000 is 2464.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (46420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219895 + ... + 220105.

Almost surely, 246420000 is an apocalyptic number.

46420000 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 46420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62586216).

46420000 is an abundant number, since it is smaller than the sum of its proper divisors (78752432).

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

46420000 is a wasteful number, since it uses less digits than its factorization.

46420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 46420000 is about 6813.2224387583. Note that the first 3 decimals coincide. The cubic root of 46420000 is about 359.3919777738.

Adding to 46420000 its reverse (2464), we get a palindrome (46422464).

The spelling of 46420000 in words is "forty-six million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 211 220 250 275 352 400 422 440 500 550 625 800 844 880 1000 1055 1100 1250 1375 1688 1760 2000 2110 2200 2321 2500 2750 3376 4000 4220 4400 4642 5000 5275 5500 6752 6875 8440 8800 9284 10000 10550 11000 11605 13750 16880 18568 20000 21100 22000 23210 26375 27500 33760 37136 42200 44000 46420 52750 55000 58025 74272 84400 92840 105500 110000 116050 131875 168800 185680 211000 220000 232100 263750 290125 371360 422000 464200 527500 580250 844000 928400 1055000 1160500 1450625 1856800 2110000 2321000 2901250 4220000 4642000 5802500 9284000 11605000 23210000 46420000