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145874432 = 291159439
BaseRepresentation
bin10001011000111…
…01111000000000
3101011111012002202
420230131320000
5244320440212
622250332332
73420624614
oct1054357000
9334435082
10145874432
1175384690
1240a2a0a8
13242b6142
1415533344
15cc170c2
hex8b1de00

145874432 has 80 divisors (see below), whose sum is σ = 324086400. Its totient is φ = 65034240.

The previous prime is 145874411. The next prime is 145874453. The reversal of 145874432 is 234478541.

It is an interprime number because it is at equal distance from previous prime (145874411) and next prime (145874453).

It is a super-2 number, since 2×1458744322 = 42558699822645248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 332069 + ... + 332507.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2145874432 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 145874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162043200).

145874432 is an abundant number, since it is smaller than the sum of its proper divisors (178211968).

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

145874432 is an equidigital number, since it uses as much as digits as its factorization.

145874432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 511 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 145874432 is about 12077.8488150829. The cubic root of 145874432 is about 526.4127416286.

The spelling of 145874432 in words is "one hundred forty-five million, eight hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 128 176 236 256 352 439 472 512 649 704 878 944 1298 1408 1756 1888 2596 2816 3512 3776 4829 5192 5632 7024 7552 9658 10384 14048 15104 19316 20768 25901 28096 30208 38632 41536 51802 56192 77264 83072 103604 112384 154528 166144 207208 224768 284911 309056 332288 414416 569822 618112 828832 1139644 1236224 1657664 2279288 2472448 3315328 4558576 6630656 9117152 13261312 18234304 36468608 72937216 145874432