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145497856 = 28731657
BaseRepresentation
bin10001010110000…
…01111100000000
3101010210001112111
420223001330000
5244221412411
622234305104
73414466000
oct1053017400
9333701474
10145497856
1175147769
1240888194
13241b390a
1415476000
15cb90721
hex8ac1f00

145497856 has 72 divisors (see below), whose sum is σ = 338895200. Its totient is φ = 62318592.

The previous prime is 145497829. The next prime is 145497881. The reversal of 145497856 is 658794541.

It is a happy number.

It is a super-2 number, since 2×1454978562 = 42339252201193472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86980 + ... + 88636.

Almost surely, 2145497856 is an apocalyptic number.

145497856 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 145497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169447600).

145497856 is an abundant number, since it is smaller than the sum of its proper divisors (193397344).

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

145497856 is an frugal number, since it uses more digits than its factorization.

145497856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1666 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 49.

The square root of 145497856 is about 12062.2492098282. The cubic root of 145497856 is about 525.9593717264.

The spelling of 145497856 in words is "one hundred forty-five million, four hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1657 1792 2744 3136 3314 5488 6272 6628 10976 11599 12544 13256 21952 23198 26512 43904 46396 53024 81193 87808 92792 106048 162386 185584 212096 324772 371168 424192 568351 649544 742336 1136702 1299088 1484672 2273404 2598176 2969344 4546808 5196352 9093616 10392704 18187232 20785408 36374464 72748928 145497856