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145803776 = 29477383
BaseRepresentation
bin10001011000011…
…00101000000000
3101011100121011212
420230030220000
5244311210101
622245025252
73420211616
oct1054145000
9334317155
10145803776
1175336598
12409b5228
132428cc31
14155156b6
15cc011bb
hex8b0ca00

145803776 has 80 divisors (see below), whose sum is σ = 305230464. Its totient is φ = 69525504.

The previous prime is 145803773. The next prime is 145803803. The reversal of 145803776 is 677308541.

It is not an unprimeable number, because it can be changed into a prime (145803773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1756631 + ... + 1756713.

Almost surely, 2145803776 is an apocalyptic number.

145803776 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 145803776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152615232).

145803776 is an abundant number, since it is smaller than the sum of its proper divisors (159426688).

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

145803776 is an frugal number, since it uses more digits than its factorization.

145803776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 145803776 is about 12074.9234366103. The cubic root of 145803776 is about 526.3277364979.

The spelling of 145803776 in words is "one hundred forty-five million, eight hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 64 73 83 94 128 146 166 188 256 292 332 376 512 584 664 752 1168 1328 1504 2336 2656 3008 3431 3901 4672 5312 6016 6059 6862 7802 9344 10624 12032 12118 13724 15604 18688 21248 24064 24236 27448 31208 37376 42496 48472 54896 62416 96944 109792 124832 193888 219584 249664 284773 387776 439168 499328 569546 775552 878336 998656 1139092 1551104 1756672 1997312 2278184 3102208 4556368 9112736 18225472 36450944 72901888 145803776