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145898496 = 210341759
BaseRepresentation
bin10001011001000…
…11110000000000
3101011112102010000
420230203300000
5244322222441
622251040000
73421055022
oct1054436000
9334472100
10145898496
11753a0777
1240a40000
13242c4093
141553c012
15cc1e2b6
hex8b23c00

145898496 has 110 divisors (see below), whose sum is σ = 435929120. Its totient is φ = 48605184.

The previous prime is 145898491. The next prime is 145898537. The reversal of 145898496 is 694898541.

145898496 is a `hidden beast` number, since 14 + 58 + 98 + 496 = 666.

It is a super-2 number, since 2×1458984962 = 42572742270124032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145898491) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82065 + ... + 83823.

It is an arithmetic number, because the mean of its divisors is an integer number (3962992).

Almost surely, 2145898496 is an apocalyptic number.

145898496 is a gapful number since it is divisible by the number (16) 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 145898496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217964560).

145898496 is an abundant number, since it is smaller than the sum of its proper divisors (290030624).

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

145898496 is an equidigital number, since it uses as much as digits as its factorization.

145898496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1764 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 145898496 is about 12078.8449778942. The cubic root of 145898496 is about 526.4416863850.

The spelling of 145898496 in words is "one hundred forty-five million, eight hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 1759 2304 2592 3072 3456 3518 4608 5184 5277 6912 7036 9216 10368 10554 13824 14072 15831 20736 21108 27648 28144 31662 41472 42216 47493 56288 63324 82944 84432 94986 112576 126648 142479 168864 189972 225152 253296 284958 337728 379944 450304 506592 569916 675456 759888 900608 1013184 1139832 1350912 1519776 1801216 2026368 2279664 2701824 3039552 4052736 4559328 5403648 6079104 8105472 9118656 12158208 16210944 18237312 24316416 36474624 48632832 72949248 145898496