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484735152 = 243117911621
BaseRepresentation
bin11100111001000…
…111100010110000
31020210010002121210
4130321013202300
51443043011102
6120033320120
715004116006
oct3471074260
91223102553
10484735152
11229690770
12116406040
137956c045
1448540a76
152c85036c
hex1ce478b0

484735152 has 80 divisors (see below), whose sum is σ = 1383482880. Its totient is φ = 145017600.

The previous prime is 484735129. The next prime is 484735157. The reversal of 484735152 is 251537484.

It is a self number, because there is not a number n which added to its sum of digits gives 484735152.

It is not an unprimeable number, because it can be changed into a prime (484735157) 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, 35902 + ... + 47522.

It is an arithmetic number, because the mean of its divisors is an integer number (17293536).

Almost surely, 2484735152 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 484735152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691741440).

484735152 is an abundant number, since it is smaller than the sum of its proper divisors (898747728).

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

484735152 is a wasteful number, since it uses less digits than its factorization.

484735152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11722 (or 11716 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 484735152 is about 22016.7016603305. The cubic root of 484735152 is about 785.5397599552.

The spelling of 484735152 in words is "four hundred eighty-four million, seven hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 528 632 869 948 1264 1738 1896 2607 3476 3792 5214 6952 10428 11621 13904 20856 23242 34863 41712 46484 69726 92968 127831 139452 185936 255662 278904 383493 511324 557808 766986 918059 1022648 1533972 1836118 2045296 2754177 3067944 3672236 5508354 6135888 7344472 10098649 11016708 14688944 20197298 22033416 30295947 40394596 44066832 60591894 80789192 121183788 161578384 242367576 484735152