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2652556540 = 225315577681
BaseRepresentation
bin1001111000011010…
…1100110011111100
320211212020211111211
42132012230303330
520413023302130
61115113254204
7122506233664
oct23606546374
96755224454
102652556540
111141331a97
12620404364
13333714baa
141b24031a4
15107d12a2a
hex9e1accfc

2652556540 has 48 divisors (see below), whose sum is σ = 5761131264. Its totient is φ = 1024819200.

The previous prime is 2652556537. The next prime is 2652556547. The reversal of 2652556540 is 456552562.

It is a junction number, because it is equal to n+sod(n) for n = 2652556493 and 2652556502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652556547) 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, 341500 + ... + 349180.

It is an arithmetic number, because the mean of its divisors is an integer number (120023568).

Almost surely, 22652556540 is an apocalyptic number.

2652556540 is a gapful number since it is divisible by the number (20) 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 2652556540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880565632).

2652556540 is an abundant number, since it is smaller than the sum of its proper divisors (3108574724).

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

2652556540 is a wasteful number, since it uses less digits than its factorization.

2652556540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The square root of 2652556540 is about 51502.9760305169. The cubic root of 2652556540 is about 1384.2723682100.

The spelling of 2652556540 in words is "two billion, six hundred fifty-two million, five hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 557 620 1114 2228 2785 5570 7681 11140 15362 17267 30724 34534 38405 69068 76810 86335 153620 172670 238111 345340 476222 952444 1190555 2381110 4278317 4762220 8556634 17113268 21391585 42783170 85566340 132627827 265255654 530511308 663139135 1326278270 2652556540