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464704152 = 233116612663
BaseRepresentation
bin11011101100101…
…101001010011000
31012101102102020220
4123230231022120
51422431013102
6114040120040
714341630413
oct3354551230
91171372226
10464704152
1121934a120
1210b766020
1375377793
1445a08b7a
152abe51bc
hex1bb2d298

464704152 has 64 divisors (see below), whose sum is σ = 1269768960. Its totient is φ = 140553600.

The previous prime is 464704151. The next prime is 464704157. The reversal of 464704152 is 251407464.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464704151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173173 + ... + 175835.

It is an arithmetic number, because the mean of its divisors is an integer number (19840140).

Almost surely, 2464704152 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 464704152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634884480).

464704152 is an abundant number, since it is smaller than the sum of its proper divisors (805064808).

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

464704152 is a wasteful number, since it uses less digits than its factorization.

464704152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 464704152 is about 21556.9977501506. The cubic root of 464704152 is about 774.5667516722.

The spelling of 464704152 in words is "four hundred sixty-four million, seven hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 661 1322 1983 2644 2663 3966 5288 5326 7271 7932 7989 10652 14542 15864 15978 21304 21813 29084 29293 31956 43626 58168 58586 63912 87252 87879 117172 174504 175758 234344 351516 703032 1760243 3520486 5280729 7040972 10561458 14081944 19362673 21122916 38725346 42245832 58088019 77450692 116176038 154901384 232352076 464704152