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145887282 = 232191632617
BaseRepresentation
bin10001011001000…
…01000000110010
3101011111211201200
420230201000302
5244321343112
622250512030
73421010232
oct1054410062
9334454650
10145887282
1175393302
1240a35616
13242bbc48
1415537cc2
15cc1acdc
hex8b21032

145887282 has 48 divisors (see below), whose sum is σ = 334894560. Its totient is φ = 45769536.

The previous prime is 145887253. The next prime is 145887283. The reversal of 145887282 is 282788541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (145887283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54438 + ... + 57054.

It is an arithmetic number, because the mean of its divisors is an integer number (6976970).

Almost surely, 2145887282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145887282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167447280).

145887282 is an abundant number, since it is smaller than the sum of its proper divisors (189007278).

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

145887282 is a wasteful number, since it uses less digits than its factorization.

145887282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2804 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 145887282 is about 12078.3807689607. The cubic root of 145887282 is about 526.4281983128.

The spelling of 145887282 in words is "one hundred forty-five million, eight hundred eighty-seven thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 163 171 326 342 489 978 1467 2617 2934 3097 5234 6194 7851 9291 15702 18582 23553 27873 47106 49723 55746 99446 149169 298338 426571 447507 853142 895014 1279713 2559426 3839139 7678278 8104849 16209698 24314547 48629094 72943641 145887282