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315250152 = 233713713697
BaseRepresentation
bin10010110010100…
…101010111101000
3210222012100220120
4102302211113220
51121201001102
651140523240
710545403440
oct2262452750
9728170816
10315250152
11151a50118
12896b0520
135040a269
142dc23120
151ca226bc
hex12ca55e8

315250152 has 64 divisors (see below), whose sum is σ = 907355520. Its totient is φ = 89407488.

The previous prime is 315250151. The next prime is 315250181. The reversal of 315250152 is 251052513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (315250151) 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, 16168 + ... + 29864.

It is an arithmetic number, because the mean of its divisors is an integer number (14177430).

Almost surely, 2315250152 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 315250152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453677760).

315250152 is an abundant number, since it is smaller than the sum of its proper divisors (592105368).

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

315250152 is a wasteful number, since it uses less digits than its factorization.

315250152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13850 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 315250152 is about 17755.2851849808. The cubic root of 315250152 is about 680.5892758172.

The spelling of 315250152 in words is "three hundred fifteen million, two hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2877 3288 3836 5754 7672 11508 13697 23016 27394 41091 54788 82182 95879 109576 164364 191758 287637 328728 383516 575274 767032 1150548 1876489 2301096 3752978 5629467 7505956 11258934 13135423 15011912 22517868 26270846 39406269 45035736 52541692 78812538 105083384 157625076 315250152