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536626540 = 22537838737
BaseRepresentation
bin11111111111000…
…100010101101100
31101101202110020001
4133333010111230
52044334022130
6125125434044
716204151602
oct3777042554
91341673201
10536626540
11255a0350a
1212b86b924
138723a2c8
14513ab872
15321a06ca
hex1ffc456c

536626540 has 48 divisors (see below), whose sum is σ = 1171451232. Its totient is φ = 206309376.

The previous prime is 536626529. The next prime is 536626553. The reversal of 536626540 is 45626635.

It is a super-3 number, since 3×5366265403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 536626540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57052 + ... + 65788.

It is an arithmetic number, because the mean of its divisors is an integer number (24405234).

Almost surely, 2536626540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536626540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585725616).

536626540 is an abundant number, since it is smaller than the sum of its proper divisors (634824692).

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

536626540 is a wasteful number, since it uses less digits than its factorization.

536626540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8866 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 536626540 is about 23165.2010567575. The cubic root of 536626540 is about 812.6260045999.

It can be divided in two parts, 536626 and 540, that added together give a triangular number (537166 = T1036).

The spelling of 536626540 in words is "five hundred thirty-six million, six hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 83 148 166 185 332 370 415 740 830 1660 3071 6142 8737 12284 15355 17474 30710 34948 43685 61420 87370 174740 323269 646538 725171 1293076 1450342 1616345 2900684 3232690 3625855 6465380 7251710 14503420 26831327 53662654 107325308 134156635 268313270 536626540