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46284228 = 223219157431
BaseRepresentation
bin1011000010001…
…1110111000100
310020002111000200
42300203313010
543322043403
64332010500
71101260304
oct260436704
9106074020
1046284228
1124143031
1213600a30
139787023
14620b604
1540e3ca3
hex2c23dc4

46284228 has 72 divisors (see below), whose sum is σ = 124225920. Its totient is φ = 14489280.

The previous prime is 46284223. The next prime is 46284233. The reversal of 46284228 is 82248264.

It is a happy number.

46284228 is a `hidden beast` number, since 4 + 628 + 4 + 2 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (46284223) and next prime (46284233).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46284192 and 46284201.

It is not an unprimeable number, because it can be changed into a prime (46284221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107173 + ... + 107603.

It is an arithmetic number, because the mean of its divisors is an integer number (1725360).

Almost surely, 246284228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46284228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62112960).

46284228 is an abundant number, since it is smaller than the sum of its proper divisors (77941692).

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

46284228 is a wasteful number, since it uses less digits than its factorization.

46284228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 612 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 46284228 is about 6803.2512815565. The cubic root of 46284228 is about 359.0412451998.

The spelling of 46284228 in words is "forty-six million, two hundred eighty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 157 171 228 314 342 431 471 628 684 862 942 1293 1413 1724 1884 2586 2826 2983 3879 5172 5652 5966 7758 8189 8949 11932 15516 16378 17898 24567 26847 32756 35796 49134 53694 67667 73701 98268 107388 135334 147402 203001 270668 294804 406002 609003 812004 1218006 1285673 2436012 2571346 3857019 5142692 7714038 11571057 15428076 23142114 46284228