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145333456 = 2431793709
BaseRepresentation
bin10001010100110…
…01110011010000
3101010110201000121
420222121303100
5244201132311
622231000024
73413212462
oct1052316320
9333421017
10145333456
11750451a4
1240809014
1324156b38
1415432132
15cb5bb71
hex8a99cd0

145333456 has 40 divisors (see below), whose sum is σ = 294425600. Its totient is φ = 69413760.

The previous prime is 145333399. The next prime is 145333469. The reversal of 145333456 is 654333541.

It is a super-2 number, since 2×1453334562 = 42243626865807872, which contains 22 as substring.

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, 37330 + ... + 41038.

It is an arithmetic number, because the mean of its divisors is an integer number (7360640).

Almost surely, 2145333456 is an apocalyptic number.

145333456 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 145333456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147212800).

145333456 is an abundant number, since it is smaller than the sum of its proper divisors (149092144).

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

145333456 is a wasteful number, since it uses less digits than its factorization.

145333456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3821 counting only the distinct ones).

The product of its digits is 64800, while the sum is 34.

The square root of 145333456 is about 12055.4326342940. The cubic root of 145333456 is about 525.7612008608.

Adding to 145333456 its reverse (654333541), we get a palindrome (799666997).

The spelling of 145333456 in words is "one hundred forty-five million, three hundred thirty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 496 632 1264 2449 3709 4898 7418 9796 14836 19592 29672 39184 59344 114979 229958 293011 459916 586022 919832 1172044 1839664 2344088 4688176 9083341 18166682 36333364 72666728 145333456