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145850796 = 22327132112
BaseRepresentation
bin10001011000110…
…00000110101100
3101011102222200100
420230120012230
5244314211141
622250031100
73420465660
oct1054300654
9334388610
10145850796
1175368953
1240a18490
13242a8460
14155288a0
15cc100b6
hex8b181ac

145850796 has 108 divisors (see below), whose sum is σ = 455918736. Its totient is φ = 38283840.

The previous prime is 145850791. The next prime is 145850807. The reversal of 145850796 is 697058541.

145850796 is a `hidden beast` number, since 1 + 4 + 58 + 507 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (145850791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 691131 + ... + 691341.

Almost surely, 2145850796 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 145850796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227959368).

145850796 is an abundant number, since it is smaller than the sum of its proper divisors (310067940).

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

145850796 is a wasteful number, since it uses less digits than its factorization.

145850796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 145850796 is about 12076.8702899385. The cubic root of 145850796 is about 526.3843085818.

The spelling of 145850796 in words is "one hundred forty-five million, eight hundred fifty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 211 234 252 273 364 422 468 546 633 819 844 1092 1266 1477 1638 1899 2532 2743 2954 3276 3798 4431 5486 5908 7596 8229 8862 10972 13293 16458 17724 19201 24687 26586 32916 38402 44521 49374 53172 57603 76804 89042 98748 115206 133563 172809 178084 230412 267126 311647 345618 400689 534252 578773 623294 691236 801378 934941 1157546 1246588 1602756 1736319 1869882 2315092 2804823 3472638 3739764 4051411 5208957 5609646 6945276 8102822 10417914 11219292 12154233 16205644 20835828 24308466 36462699 48616932 72925398 145850796