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33528540 = 22351929411
BaseRepresentation
bin111111111100…
…1101011011100
32100002102111210
41333321223130
532040403130
63154344420
7554662563
oct177715334
970072453
1033528540
1117a20541
12b28b110
136c3c096
14464abda
152e245b0
hex1ff9adc

33528540 has 48 divisors (see below), whose sum is σ = 98824320. Its totient is φ = 8470080.

The previous prime is 33528527. The next prime is 33528613. The reversal of 33528540 is 4582533.

It is a super-2 number, since 2×335285402 = 2248325989063200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33528498 and 33528507.

It is a congruent number.

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, 13566 + ... + 15845.

It is an arithmetic number, because the mean of its divisors is an integer number (2058840).

Almost surely, 233528540 is an apocalyptic number.

33528540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33528540 is an abundant number, since it is smaller than the sum of its proper divisors (65295780).

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

33528540 is a wasteful number, since it uses less digits than its factorization.

33528540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29442 (or 29440 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 33528540 is about 5790.3834069947. The cubic root of 33528540 is about 322.4568057047.

The spelling of 33528540 in words is "thirty-three million, five hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 29411 58822 88233 117644 147055 176466 294110 352932 441165 558809 588220 882330 1117618 1676427 1764660 2235236 2794045 3352854 5588090 6705708 8382135 11176180 16764270 33528540