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145798884 = 2232711149353
BaseRepresentation
bin10001011000010…
…11011011100100
3101011100100110200
420230023123210
5244311031014
622244550500
73420161430
oct1054133344
9334310420
10145798884
1175332950
12409b2430
132428a93a
14155139c0
15cbeea09
hex8b0b6e4

145798884 has 144 divisors (see below), whose sum is σ = 463881600. Its totient is φ = 37509120.

The previous prime is 145798883. The next prime is 145798889. The reversal of 145798884 is 488897541.

It is a self number, because there is not a number n which added to its sum of digits gives 145798884.

It is not an unprimeable number, because it can be changed into a prime (145798883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412852 + ... + 413204.

It is an arithmetic number, because the mean of its divisors is an integer number (3221400).

Almost surely, 2145798884 is an apocalyptic number.

145798884 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 145798884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231940800).

145798884 is an abundant number, since it is smaller than the sum of its proper divisors (318082716).

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

145798884 is a wasteful number, since it uses less digits than its factorization.

145798884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 525 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 145798884 is about 12074.7208663389. The cubic root of 145798884 is about 526.3218499927.

The spelling of 145798884 in words is "one hundred forty-five million, seven hundred ninety-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 149 154 198 231 252 298 308 353 396 447 462 596 693 706 894 924 1043 1059 1341 1386 1412 1639 1788 2086 2118 2471 2682 2772 3129 3177 3278 3883 4172 4236 4917 4942 5364 6258 6354 6556 7413 7766 9387 9834 9884 11473 11649 12516 12708 14751 14826 15532 18774 19668 22239 22946 23298 27181 29502 29652 34419 34947 37548 44478 45892 46596 52597 54362 59004 68838 69894 81543 88956 103257 105194 108724 137676 139788 157791 163086 206514 210388 244629 315582 326172 368179 413028 473373 489258 578567 631164 736358 946746 978516 1104537 1157134 1472716 1735701 1893492 2209074 2314268 3313611 3471402 4049969 4418148 5207103 6627222 6942804 8099938 10414206 12149907 13254444 16199876 20828412 24299814 36449721 48599628 72899442 145798884