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2500357248 = 273580387
BaseRepresentation
bin1001010100001000…
…0110110010000000
320110020212022100000
42111002012302000
520110042412443
61052035200000
7115650454164
oct22502066200
96406768300
102500357248
111073428454
12599446000
1330b025c3c
1419a104ca4
15e979b8d3
hex95086c80

2500357248 has 96 divisors (see below), whose sum is σ = 7461614160. Its totient is φ = 833442048.

The previous prime is 2500357247. The next prime is 2500357253. The reversal of 2500357248 is 8427530052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25003572482 = 12503572735252267008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2500357247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9090 + ... + 71297.

Almost surely, 22500357248 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 2500357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730807080).

2500357248 is an abundant number, since it is smaller than the sum of its proper divisors (4961256912).

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

2500357248 is an frugal number, since it uses more digits than its factorization.

2500357248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80416 (or 80392 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2500357248 is about 50003.5723523830. The cubic root of 2500357248 is about 1357.2734532360.

The spelling of 2500357248 in words is "two billion, five hundred million, three hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 80387 160774 241161 321548 482322 643096 723483 964644 1286192 1446966 1929288 2170449 2572384 2893932 3858576 4340898 5144768 5787864 6511347 7717152 8681796 10289536 11575728 13022694 15434304 17363592 19534041 23151456 26045388 30868608 34727184 39068082 46302912 52090776 69454368 78136164 92605824 104181552 138908736 156272328 208363104 277817472 312544656 416726208 625089312 833452416 1250178624 2500357248