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2497265792 = 27726312
BaseRepresentation
bin1001010011011001…
…0100000010000000
320110001001020122122
42110312110002000
520103300001132
61051445023412
7115612260200
oct22466240200
96401036578
102497265792
11107170682a
125983b4b68
1330a4b2a88
1419993c400
15e938a912
hex94d94080

2497265792 has 72 divisors (see below), whose sum is σ = 5796456255. Its totient is φ = 1068560640.

The previous prime is 2497265767. The next prime is 2497265821. The reversal of 2497265792 is 2975627942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1248632896 + 1248632896 = 35336^2 + 35336^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=35336.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3957317 + ... + 3957947.

Almost surely, 22497265792 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 2497265792

2497265792 is an abundant number, since it is smaller than the sum of its proper divisors (3299190463).

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

2497265792 is an frugal number, since it uses more digits than its factorization.

2497265792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 640 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 53.

The square root of 2497265792 is about 49972.6504400157. The cubic root of 2497265792 is about 1356.7138423174.

The spelling of 2497265792 in words is "two billion, four hundred ninety-seven million, two hundred sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 631 784 896 1262 1568 2524 3136 4417 5048 6272 8834 10096 17668 20192 30919 35336 40384 61838 70672 80768 123676 141344 247352 282688 398161 494704 565376 796322 989408 1592644 1978816 2787127 3185288 3957632 5574254 6370576 11148508 12741152 19509889 22297016 25482304 39019778 44594032 50964608 78039556 89188064 156079112 178376128 312158224 356752256 624316448 1248632896 2497265792