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2507247990 = 2325134152267
BaseRepresentation
bin1001010101110001…
…1001000101110110
320110201211101122200
42111130121011312
520113323413430
61052443005330
7116063153622
oct22534310566
96421741580
102507247990
111077304585
1259b809846
1330c5994c0
1419adba182
15ea1ad460
hex95719176

2507247990 has 96 divisors (see below), whose sum is σ = 7191658656. Its totient is φ = 602104320.

The previous prime is 2507247989. The next prime is 2507247991. The reversal of 2507247990 is 997427052.

2507247990 is a `hidden beast` number, since 25 + 0 + 72 + 479 + 90 = 666.

2507247990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2507247989) and next prime (2507247991).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507247991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21837 + ... + 74103.

It is an arithmetic number, because the mean of its divisors is an integer number (74913111).

Almost surely, 22507247990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2507247990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595829328).

2507247990 is an abundant number, since it is smaller than the sum of its proper divisors (4684410666).

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

2507247990 is a wasteful number, since it uses less digits than its factorization.

2507247990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52334 (or 52331 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2507247990 is about 50072.4274426555. The cubic root of 2507247990 is about 1358.5191475847.

The spelling of 2507247990 in words is "two billion, five hundred seven million, two hundred forty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 234 246 369 390 410 533 585 615 738 1066 1170 1230 1599 1845 2665 3198 3690 4797 5330 7995 9594 15990 23985 47970 52267 104534 156801 261335 313602 470403 522670 679471 784005 940806 1358942 1568010 2038413 2142947 2352015 3397355 4076826 4285894 4704030 6115239 6428841 6794710 10192065 10714735 12230478 12857682 19286523 20384130 21429470 27858311 30576195 32144205 38573046 55716622 61152390 64288410 83574933 96432615 139291555 167149866 192865230 250724799 278583110 417874665 501449598 835749330 1253623995 2507247990