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145850448 = 24337412003
BaseRepresentation
bin10001011000110…
…00000001010000
3101011102222012110
420230120001100
5244314203243
622250025320
73420464652
oct1054300120
9334388173
10145850448
1175368667
1240a18240
13242a8253
14155286d2
15cc0ee33
hex8b18050

145850448 has 80 divisors (see below), whose sum is σ = 396599616. Its totient is φ = 46126080.

The previous prime is 145850417. The next prime is 145850449. The reversal of 145850448 is 844058541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145850449) 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, 71815 + ... + 73817.

Almost surely, 2145850448 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 145850448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198299808).

145850448 is an abundant number, since it is smaller than the sum of its proper divisors (250749168).

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

145850448 is a wasteful number, since it uses less digits than its factorization.

145850448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 145850448 is about 12076.8558822237. The cubic root of 145850448 is about 526.3838899305.

The spelling of 145850448 in words is "one hundred forty-five million, eight hundred fifty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 296 328 444 492 592 656 888 984 1517 1776 1968 2003 3034 4006 4551 6009 6068 8012 9102 12018 12136 16024 18204 24036 24272 32048 36408 48072 72816 74111 82123 96144 148222 164246 222333 246369 296444 328492 444666 492738 592888 656984 889332 985476 1185776 1313968 1778664 1970952 3038551 3557328 3941904 6077102 9115653 12154204 18231306 24308408 36462612 48616816 72925224 145850448