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145983553 = 2361671553
BaseRepresentation
bin10001011001110…
…00100001000001
3101011200201210021
420230320201001
5244332433203
622252533441
73421561012
oct1054704101
9334621707
10145983553
1175449671
1240a81281
1324323a01
1415561009
15cc395bd
hex8b38841

145983553 has 16 divisors (see below), whose sum is σ = 157239936. Its totient is φ = 135210240.

The previous prime is 145983529. The next prime is 145983577. The reversal of 145983553 is 355389541.

It is an interprime number because it is at equal distance from previous prime (145983529) and next prime (145983577).

It is a cyclic number.

It is not a de Polignac number, because 145983553 - 25 = 145983521 is a prime.

It is a super-3 number, since 3×1459835533 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145983353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93225 + ... + 94777.

It is an arithmetic number, because the mean of its divisors is an integer number (9827496).

Almost surely, 2145983553 is an apocalyptic number.

It is an amenable number.

145983553 is a deficient number, since it is larger than the sum of its proper divisors (11256383).

145983553 is a wasteful number, since it uses less digits than its factorization.

145983553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704.

The product of its digits is 324000, while the sum is 43.

The square root of 145983553 is about 12082.3653727240. The cubic root of 145983553 is about 526.5439694859.

The spelling of 145983553 in words is "one hundred forty-five million, nine hundred eighty-three thousand, five hundred fifty-three".

Divisors: 1 23 61 67 1403 1541 1553 4087 35719 94001 94733 104051 2178859 2393173 6347111 145983553