Search a number
-
+
145312048 = 2472732539
BaseRepresentation
bin10001010100101…
…00100100110000
3101010102121122201
420222110210300
5244144441143
622230312544
73413063200
oct1052244460
9333377581
10145312048
1175030102
12407b8754
132414a17b
1415428400
15cb5564d
hex8a94930

145312048 has 60 divisors (see below), whose sum is σ = 332125320. Its totient is φ = 61399296.

The previous prime is 145312031. The next prime is 145312051. The reversal of 145312048 is 840213541.

It is a super-2 number, since 2×1453120482 = 42231182587908608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55963 + ... + 58501.

It is an arithmetic number, because the mean of its divisors is an integer number (5535422).

Almost surely, 2145312048 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 145312048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166062660).

145312048 is an abundant number, since it is smaller than the sum of its proper divisors (186813272).

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

145312048 is a wasteful number, since it uses less digits than its factorization.

145312048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 145312048 is about 12054.5447031400. The cubic root of 145312048 is about 525.7353842577.

Adding to 145312048 its reverse (840213541), we get a palindrome (985525589).

The spelling of 145312048 in words is "one hundred forty-five million, three hundred twelve thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 392 511 584 784 1022 1168 2044 2539 3577 4088 5078 7154 8176 10156 14308 17773 20312 28616 35546 40624 57232 71092 124411 142184 185347 248822 284368 370694 497644 741388 995288 1297429 1482776 1990576 2594858 2965552 5189716 9082003 10379432 18164006 20758864 36328012 72656024 145312048