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145849704 = 233711132467
BaseRepresentation
bin10001011000101…
…11110101101000
3101011102221011220
420230113311220
5244314142304
622250022040
73420462540
oct1054276550
9334387156
10145849704
1175368050
1240a17920
13242a7b00
1415528320
15cc0ead9
hex8b17d68

145849704 has 192 divisors, whose sum is σ = 493309440. Its totient is φ = 34894080.

The previous prime is 145849663. The next prime is 145849723. The reversal of 145849704 is 407948541.

145849704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312079 + ... + 312545.

It is an arithmetic number, because the mean of its divisors is an integer number (2569320).

Almost surely, 2145849704 is an apocalyptic number.

145849704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145849704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246654720).

145849704 is an abundant number, since it is smaller than the sum of its proper divisors (347459736).

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

145849704 is a wasteful number, since it uses less digits than its factorization.

145849704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 145849704 is about 12076.8250794652. The cubic root of 145849704 is about 526.3829948806.

The spelling of 145849704 in words is "one hundred forty-five million, eight hundred forty-nine thousand, seven hundred four".