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145277352 = 233211593109
BaseRepresentation
bin10001010100011…
…00000110101000
3101010100212001200
420222030012220
5244142333402
622225444200
73412560063
oct1052140650
9333325050
10145277352
1175007030
12407a0660
132413743c
14154198da
15cb4a21c
hex8a8c1a8

145277352 has 96 divisors (see below), whose sum is σ = 436644000. Its totient is φ = 43263360.

The previous prime is 145277351. The next prime is 145277357. The reversal of 145277352 is 253772541.

145277352 is a `hidden beast` number, since 14 + 527 + 73 + 52 = 666.

It is a super-2 number, since 2×1452773522 = 42211018008263808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145277351) 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, 45174 + ... + 48282.

It is an arithmetic number, because the mean of its divisors is an integer number (4548375).

Almost surely, 2145277352 is an apocalyptic number.

145277352 is a gapful number since it is divisible by the number (12) 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 145277352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218322000).

145277352 is an abundant number, since it is smaller than the sum of its proper divisors (291366648).

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

145277352 is a wasteful number, since it uses less digits than its factorization.

145277352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3184 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 145277352 is about 12053.1054919469. The cubic root of 145277352 is about 525.6935378379.

The spelling of 145277352 in words is "one hundred forty-five million, two hundred seventy-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 132 177 198 236 264 354 396 472 531 649 708 792 1062 1298 1416 1947 2124 2596 3109 3894 4248 5192 5841 6218 7788 9327 11682 12436 15576 18654 23364 24872 27981 34199 37308 46728 55962 68398 74616 102597 111924 136796 183431 205194 223848 273592 307791 366862 410388 550293 615582 733724 820776 1100586 1231164 1467448 1650879 2017741 2201172 2462328 3301758 4035482 4402344 6053223 6603516 8070964 12106446 13207032 16141928 18159669 24212892 36319338 48425784 72638676 145277352