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472664148 = 223114721621
BaseRepresentation
bin11100001011000…
…100100001010100
31012221101211022120
4130023010201110
51432000223043
6114522455540
714466402405
oct3413044124
91187354276
10472664148
11222896630
121123645b0
1376c03938
1446abb9ac
152b768983
hex1c2c4854

472664148 has 72 divisors (see below), whose sum is σ = 1230046944. Its totient is φ = 140097600.

The previous prime is 472664131. The next prime is 472664149. The reversal of 472664148 is 841466274.

It is a super-2 number, since 2×4726641482 = 446822793609131808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472664149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290778 + ... + 292398.

Almost surely, 2472664148 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 472664148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615023472).

472664148 is an abundant number, since it is smaller than the sum of its proper divisors (757382796).

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

472664148 is a wasteful number, since it uses less digits than its factorization.

472664148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1684 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 472664148 is about 21740.8405541276. The cubic root of 472664148 is about 778.9642992818.

The spelling of 472664148 in words is "four hundred seventy-two million, six hundred sixty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 1621 2068 2209 3102 3242 4418 4863 6204 6484 6627 8836 9726 13254 17831 19452 24299 26508 35662 48598 53493 71324 72897 76187 97196 106986 145794 152374 213972 228561 291588 304748 457122 838057 914244 1676114 2514171 3352228 3580789 5028342 7161578 10056684 10742367 14323156 21484734 39388679 42969468 78777358 118166037 157554716 236332074 472664148