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152464350 = 23521317759
BaseRepresentation
bin10010001011001…
…10101111011110
3101121212222202210
421011212233132
5303012324400
623043501250
73530632323
oct1105465736
9347788683
10152464350
11790757a5
1243087826
13257827bc
141636ab4a
15d5b9950
hex9166bde

152464350 has 48 divisors (see below), whose sum is σ = 381047040. Its totient is φ = 40341600.

The previous prime is 152464349. The next prime is 152464357. The reversal of 152464350 is 53464251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152464357) 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, 15771 + ... + 23529.

It is an arithmetic number, because the mean of its divisors is an integer number (7938480).

Almost surely, 2152464350 is an apocalyptic number.

152464350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152464350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190523520).

152464350 is an abundant number, since it is smaller than the sum of its proper divisors (228582690).

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

152464350 is a wasteful number, since it uses less digits than its factorization.

152464350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 152464350 is about 12347.6455245524. The cubic root of 152464350 is about 534.2232300432.

Subtracting from 152464350 its reverse (53464251), we obtain a palindrome (99000099).

The spelling of 152464350 in words is "one hundred fifty-two million, four hundred sixty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 131 150 262 393 655 786 1310 1965 3275 3930 6550 7759 9825 15518 19650 23277 38795 46554 77590 116385 193975 232770 387950 581925 1016429 1163850 2032858 3049287 5082145 6098574 10164290 15246435 25410725 30492870 50821450 76232175 152464350