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3947242590 = 234519213499
BaseRepresentation
bin1110101101000110…
…0010010001011110
3101012002102200220000
43223101202101132
531040443230330
61451403035130
7166550002614
oct35321422136
911162380800
103947242590
11174612a865
12921b0baa6
134aba0c205
1429633d6b4
15181803560
hexeb46245e

3947242590 has 120 divisors (see below), whose sum is σ = 11202543000. Its totient is φ = 997124256.

The previous prime is 3947242567. The next prime is 3947242591. The reversal of 3947242590 is 952427493.

3947242590 is a `hidden beast` number, since 39 + 4 + 7 + 24 + 2 + 590 = 666.

3947242590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3947242591) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 285661 + ... + 299159.

It is an arithmetic number, because the mean of its divisors is an integer number (93354525).

Almost surely, 23947242590 is an apocalyptic number.

3947242590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3947242590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601271500).

3947242590 is an abundant number, since it is smaller than the sum of its proper divisors (7255300410).

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

3947242590 is a wasteful number, since it uses less digits than its factorization.

3947242590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13556 (or 13528 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3947242590 is about 62827.0848440384. The cubic root of 3947242590 is about 1580.3912119450.

The spelling of 3947242590 in words is "three billion, nine hundred forty-seven million, two hundred forty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 361 405 513 570 722 810 855 1026 1083 1539 1710 1805 2166 2565 3078 3249 3610 5130 5415 6498 7695 9747 10830 13499 15390 16245 19494 26998 29241 32490 40497 48735 58482 67495 80994 97470 121491 134990 146205 202485 242982 256481 292410 364473 404970 512962 607455 728946 769443 1093419 1214910 1282405 1538886 1822365 2186838 2308329 2564810 3644730 3847215 4616658 4873139 5467095 6924987 7694430 9746278 10934190 11541645 13849974 14619417 20774961 23083290 24365695 29238834 34624935 41549922 43858251 48731390 69249870 73097085 87716502 103874805 131574753 146194170 207749610 219291255 263149506 394724259 438582510 657873765 789448518 1315747530 1973621295 3947242590